312880000 has 80 divisors (see below), whose sum is σ = 779094360. Its totient is φ = 125120000.

The previous prime is 312879991. The next prime is 312880027. The reversal of 312880000 is 88213.

312880000 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 a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 78045 + ... + 81955.

Almost surely, 2^312880000 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 312880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389547180).

312880000 is an abundant number, since it is smaller than the sum of its proper divisors (466214360).

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

312880000 is an frugal number, since it uses more digits than its factorization.

312880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 312880000 is about 17688.4142873238. The cubic root of 312880000 is about 678.8793537177.

The spelling of 312880000 in words is "three hundred twelve million, eight hundred eighty thousand".