791878557412800 has 1008 divisors, whose sum is σ = 3480603228385920. Its totient is φ = 167877080064000.

The previous prime is 791878557412759. The next prime is 791878557412847. The reversal of 791878557412800 is 8214755878197.

791878557412800 is a `hidden beast` number, since 7 + 9 + 1 + 8 + 7 + 8 + 557 + 41 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29004895 + ... + 49244705.

It is an arithmetic number, because the mean of its divisors is an integer number (3452979393240).

Almost surely, 2^{791878557412800} 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 791878557412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740301614192960).

791878557412800 is an abundant number, since it is smaller than the sum of its proper divisors (2688724670973120).

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

791878557412800 is a wasteful number, since it uses less digits than its factorization.

791878557412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20239882 (or 20239864 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 72.

The spelling of 791878557412800 in words is "seven hundred ninety-one trillion, eight hundred seventy-eight billion, five hundred fifty-seven million, four hundred twelve thousand, eight hundred".