312580796078880 has 768 divisors, whose sum is σ = 1257541189632000. Its totient is φ = 71035772387328.

The previous prime is 312580796078819. The next prime is 312580796078899. The reversal of 312580796078880 is 88870697085213.

312580796078880 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 8 + 0 + 7 + 9 + 607 + 8 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×312580796078880³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 312580796078799 and 312580796078808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3658483201 + ... + 3658568639.

It is an arithmetic number, because the mean of its divisors is an integer number (1637423424000).

Almost surely, 2^{312580796078880} is an apocalyptic number.

312580796078880 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 312580796078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628770594816000).

312580796078880 is an abundant number, since it is smaller than the sum of its proper divisors (944960393553120).

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

312580796078880 is a wasteful number, since it uses less digits than its factorization.

312580796078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86166 (or 86152 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 312580796078880 in words is "three hundred twelve trillion, five hundred eighty billion, seven hundred ninety-six million, seventy-eight thousand, eight hundred eighty".