312056080 has 80 divisors (see below), whose sum is σ = 877979520. Its totient is φ = 100694016.

The previous prime is 312056027. The next prime is 312056089. The reversal of 312056080 is 80650213.

It is a happy number.

312056080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (312056089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6870 + ... + 25909.

It is an arithmetic number, because the mean of its divisors is an integer number (10974744).

Almost surely, 2^312056080 is an apocalyptic number.

It is an amenable number.

312056080 is an abundant number, since it is smaller than the sum of its proper divisors (565923440).

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

312056080 is a wasteful number, since it uses less digits than its factorization.

312056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 312056080 is about 17665.1091137304. The cubic root of 312056080 is about 678.2829227362.

The spelling of 312056080 in words is "three hundred twelve million, fifty-six thousand, eighty".