312777344880 has 2160 divisors, whose sum is σ = 1525436115840. Its totient is φ = 56609280000.

The previous prime is 312777344857. The next prime is 312777344897. The reversal of 312777344880 is 88443777213.

312777344880 is a `hidden beast` number, since 3 + 127 + 7 + 7 + 34 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1246124755 + ... + 1246125005.

It is an arithmetic number, because the mean of its divisors is an integer number (706220424).

Almost surely, 2^312777344880 is an apocalyptic number.

312777344880 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 312777344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762718057920).

312777344880 is an abundant number, since it is smaller than the sum of its proper divisors (1212658770960).

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

312777344880 is a wasteful number, since it uses less digits than its factorization.

312777344880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 312777344880 in words is "three hundred twelve billion, seven hundred seventy-seven million, three hundred forty-four thousand, eight hundred eighty".