329370080 has 48 divisors (see below), whose sum is σ = 837998784. Its totient is φ = 121612800.

The previous prime is 329370047. The next prime is 329370089. The reversal of 329370080 is 80073923.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329370089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77096 + ... + 81255.

It is an arithmetic number, because the mean of its divisors is an integer number (17458308).

Almost surely, 2^329370080 is an apocalyptic number.

It is an amenable number.

329370080 is an abundant number, since it is smaller than the sum of its proper divisors (508628704).

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

329370080 is a wasteful number, since it uses less digits than its factorization.

329370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158379 (or 158371 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 329370080 is about 18148.5558654125. Note that the first 3 decimals coincide. The cubic root of 329370080 is about 690.6023445678.

The spelling of 329370080 in words is "three hundred twenty-nine million, three hundred seventy thousand, eighty".