312977904 has 80 divisors (see below), whose sum is σ = 825863808. Its totient is φ = 102110976.

The previous prime is 312977897. The next prime is 312977921. The reversal of 312977904 is 409779213.

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, 987154 + ... + 987470.

Almost surely, 2^312977904 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 312977904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412931904).

312977904 is an abundant number, since it is smaller than the sum of its proper divisors (512885904).

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

312977904 is a wasteful number, since it uses less digits than its factorization.

312977904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 312977904 is about 17691.1815320515. The cubic root of 312977904 is about 678.9501562330.

The spelling of 312977904 in words is "three hundred twelve million, nine hundred seventy-seven thousand, nine hundred four".