312992080 has 20 divisors (see below), whose sum is σ = 727706772. Its totient is φ = 125196800.

The previous prime is 312992077. The next prime is 312992107. The reversal of 312992080 is 80299213.

It can be written as a sum of positive squares in 2 ways, for example, as 106667584 + 206324496 = 10328^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1956121 + ... + 1956280.

Almost surely, 2^312992080 is an apocalyptic number.

It is an amenable number.

312992080 is an abundant number, since it is smaller than the sum of its proper divisors (414714692).

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

312992080 is a wasteful number, since it uses less digits than its factorization.

312992080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912414 (or 3912408 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 312992080 is about 17691.5821791043. The cubic root of 312992080 is about 678.9604068523.

The spelling of 312992080 in words is "three hundred twelve million, nine hundred ninety-two thousand, eighty".