329700 has 72 divisors (see below), whose sum is σ = 1097152. Its totient is φ = 74880.

The previous prime is 329687. The next prime is 329711. The reversal of 329700 is 7923.

329700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2022 + ... + 2178.

2³²⁹⁷⁰⁰ is an apocalyptic number.

329700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548576).

329700 is an abundant number, since it is smaller than the sum of its proper divisors (767452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329700 is a wasteful number, since it uses less digits than its factorization.

329700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 329700 is about 574.1950887982. The cubic root of 329700 is about 69.0832852748.

Adding to 329700 its product of nonzero digits (378), we get a triangular number (330078 = T₈₁₂).

The spelling of 329700 in words is "three hundred twenty-nine thousand, seven hundred".