390976800 has 72 divisors (see below), whose sum is σ = 1272637296. Its totient is φ = 104259840.

The previous prime is 390976777. The next prime is 390976801. The reversal of 390976800 is 8679093.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (390976801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79054 + ... + 83853.

It is an arithmetic number, because the mean of its divisors is an integer number (17675518).

Almost surely, 2^390976800 is an apocalyptic number.

390976800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390976800 is an abundant number, since it is smaller than the sum of its proper divisors (881660496).

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

390976800 is a wasteful number, since it uses less digits than its factorization.

390976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162930 (or 162917 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 390976800 is about 19773.1332873675. The cubic root of 390976800 is about 731.2238181874.

The spelling of 390976800 in words is "three hundred ninety million, nine hundred seventy-six thousand, eight hundred".