329800 has 48 divisors (see below), whose sum is σ = 820260. Its totient is φ = 122880.

The previous prime is 329789. The next prime is 329801. The reversal of 329800 is 8923.

It can be written as a sum of positive squares in 6 ways, for example, as 158404 + 171396 = 398^2 + 414^2 .

It is not an unprimeable number, because it can be changed into a prime (329801) by changing a digit.

329800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3352 + ... + 3448.

2³²⁹⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410130).

329800 is an abundant number, since it is smaller than the sum of its proper divisors (490460).

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

329800 is a wasteful number, since it uses less digits than its factorization.

329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 329800 is about 574.2821606144. The cubic root of 329800 is about 69.0902690279.

It can be divided in two parts, 32 and 9800, that multiplied together give a square (313600 = 560²).

The spelling of 329800 in words is "three hundred twenty-nine thousand, eight hundred".