329002080 has 96 divisors (see below), whose sum is σ = 1130588928. Its totient is φ = 79756800.

The previous prime is 329002049. The next prime is 329002133. The reversal of 329002080 is 80200923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 329002080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25876 + ... + 36435.

It is an arithmetic number, because the mean of its divisors is an integer number (11776968).

Almost surely, 2^329002080 is an apocalyptic number.

329002080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329002080 is an abundant number, since it is smaller than the sum of its proper divisors (801586848).

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

329002080 is a wasteful number, since it uses less digits than its factorization.

329002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62340 (or 62332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 329002080 is about 18138.4144841825. The cubic root of 329002080 is about 690.3450490143.

It can be divided in two parts, 32900 and 2080, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 329002080 in words is "three hundred twenty-nine million, two thousand, eighty".