315976800 has 216 divisors, whose sum is σ = 1070509608. Its totient is φ = 80947200.

The previous prime is 315976799. The next prime is 315976813. The reversal of 315976800 is 8679513.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2306332 + ... + 2306468.

It is an arithmetic number, because the mean of its divisors is an integer number (4956063).

Almost surely, 2^315976800 is an apocalyptic number.

315976800 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 315976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535254804).

315976800 is an abundant number, since it is smaller than the sum of its proper divisors (754532808).

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

315976800 is a wasteful number, since it uses less digits than its factorization.

315976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 315976800 is about 17775.7362716710. The cubic root of 315976800 is about 681.1117913944. Note that the first 3 decimals are identical.

The spelling of 315976800 in words is "three hundred fifteen million, nine hundred seventy-six thousand, eight hundred".