312457680 has 120 divisors (see below), whose sum is σ = 1083264000. Its totient is φ = 80628480.

The previous prime is 312457667. The next prime is 312457703. The reversal of 312457680 is 86754213.

312457680 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 576 + 80 = 666.

312457680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15321 + ... + 29319.

It is an arithmetic number, because the mean of its divisors is an integer number (9027200).

Almost surely, 2^312457680 is an apocalyptic number.

312457680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632000).

312457680 is an abundant number, since it is smaller than the sum of its proper divisors (770806320).

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

312457680 is a wasteful number, since it uses less digits than its factorization.

312457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14049 (or 14040 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 312457680 is about 17676.4724987764. The cubic root of 312457680 is about 678.5737696582.

The spelling of 312457680 in words is "three hundred twelve million, four hundred fifty-seven thousand, six hundred eighty".