A közigazgatási iroda ma nyitva van.

A is the Hungarian definite article, so it means the.

Hungarian has two forms of the definite article:

• a before most consonant sounds
• az before vowel sounds

So:

• a közigazgatási iroda = the administrative office
• but az iroda = the office

Közigazgatási is an adjective meaning administrative or related to public administration.

It comes from közigazgatás, which means public administration / administration, plus an adjective-forming ending. In this sentence, it describes iroda (office), so:

• közigazgatási iroda = administrative office / public administration office

Hungarian often builds long descriptive words like this, so a learner will see many similar forms.

In Hungarian, adjectives usually do not agree with the noun in gender, and Hungarian has no grammatical gender like he/she or masculine/feminine noun classes.

So the adjective stays the same:

• közigazgatási iroda = administrative office
• közigazgatási irodák = administrative offices

Notice that iroda changes to plural (irodák), but közigazgatási stays the same.

Ma means today.

In the sentence A közigazgatási iroda ma nyitva van, it gives the time reference: the office is open today.

Its position is natural and neutral here. Hungarian word order is flexible, but not random. This version sounds like a normal statement:

• A közigazgatási iroda ma nyitva van. = The administrative office is open today.

You could also say:

• Ma a közigazgatási iroda nyitva van.

That also works, but it puts today in a more prominent position.

Nyitva van is the normal Hungarian way to say that something is open in the sense of not closed or open for business.

• nyitva = in an open state
• van = is

So literally it is something like is in an opened/open state.

This pattern is very common in Hungarian:

• nyitva van = is open
• zárva van = is closed
• csukva van = is shut

For shops, offices, doors, etc., nyitva van is very idiomatic.

Good question. Hungarian often omits van in the present tense, especially in simple equational or descriptive sentences:

• Az iroda nagy. = The office is big.
• A bolt nyitva. = The shop is open.

So yes, you may also hear:

• A közigazgatási iroda ma nyitva.

That is possible.

But nyitva van is also completely normal, and many learners first meet this full form because it is very clear and standard. You can think of nyitva van as a common set expression.

Sometimes, but not in exactly the same way.

For places like shops and offices, nyitva is the most natural choice:

• Az iroda nyitva van. = The office is open.

Nyitott exists, but it often has a slightly different feel, depending on context. It can mean opened, open, or even open-minded. For business hours or whether a place is open, nyitva is usually the better, more idiomatic choice.

The word order is flexible, but changing it can change emphasis.

The given sentence is a neutral statement:

• A közigazgatási iroda ma nyitva van.

Other possibilities:

• Ma a közigazgatási iroda nyitva van.
  This brings today forward.

• A közigazgatási iroda ma van nyitva.
  This can strongly emphasize today: it is today that the office is open.

So Hungarian word order is not just about grammar; it also shows what is most important or contrasted.

A few useful points:

• Hungarian stress is usually on the first syllable of each word.
• The accents mostly show vowel quality and often length.

In közigazgatási:

• ö is like German ö or French eu in some pronunciations
• á is a long open a
• í is a long ee

So the main stress is at the start of the word: KÖ-zi-gaz-ga-tá-si.

You do not need perfect pronunciation right away, but noticing vowel length is important in Hungarian.

Yes. A simple breakdown is:

• A = the
• közigazgatási = administrative / public-administration
• iroda = office
• ma = today
• nyitva van = is open

So even though the natural English translation may be smoother, the Hungarian structure is quite transparent once you know the parts.

It can function like a set institutional phrase, but grammatically it is still just adjective + noun:

• közigazgatási = administrative
• iroda = office

So you can build similar expressions in the same way:

• adóiroda = tax office
• városi iroda = city office
• kormányzati hivatal = government office

Hungarian often uses these kinds of descriptive combinations for official institutions.