312827680 has 48 divisors (see below), whose sum is σ = 806246784. Its totient is φ = 113754880.

The previous prime is 312827653. The next prime is 312827707. The reversal of 312827680 is 86728213.

It is an interprime number because it is at equal distance from previous prime (312827653) and next prime (312827707).

It is a super-2 number, since 2×312827680² = 195722314748364800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 87112 + ... + 90631.

It is an arithmetic number, because the mean of its divisors is an integer number (16796808).

Almost surely, 2^312827680 is an apocalyptic number.

It is an amenable number.

312827680 is an abundant number, since it is smaller than the sum of its proper divisors (493419104).

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

312827680 is a wasteful number, since it uses less digits than its factorization.

312827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177769 (or 177761 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 312827680 is about 17686.9352913386. The cubic root of 312827680 is about 678.8415107238.

The spelling of 312827680 in words is "three hundred twelve million, eight hundred twenty-seven thousand, six hundred eighty".