312800816 has 40 divisors (see below), whose sum is σ = 649869120. Its totient is φ = 145327104.

The previous prime is 312800801. The next prime is 312800821. The reversal of 312800816 is 618008213.

312800816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 14210 + ... + 28766.

It is an arithmetic number, because the mean of its divisors is an integer number (16246728).

Almost surely, 2^312800816 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 312800816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324934560).

312800816 is an abundant number, since it is smaller than the sum of its proper divisors (337068304).

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

312800816 is a wasteful number, since it uses less digits than its factorization.

312800816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 312800816 is about 17686.1758444272. The cubic root of 312800816 is about 678.8220783850.

The spelling of 312800816 in words is "three hundred twelve million, eight hundred thousand, eight hundred sixteen".