77995507968000 has 2304 divisors, whose sum is σ = 336357598187520. Its totient is φ = 17008164864000.

The previous prime is 77995507967903. The next prime is 77995507968017. The reversal of 77995507968000 is 86970559977.

77995507968000 is a `hidden beast` number, since 7 + 7 + 9 + 9 + 550 + 7 + 9 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 77995507968000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36497662932 + ... + 36497665068.

It is an arithmetic number, because the mean of its divisors is an integer number (145988540880).

Almost surely, 2^{77995507968000} is an apocalyptic number.

77995507968000 is a gapful number since it is divisible by the number (70) 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 77995507968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168178799093760).

77995507968000 is an abundant number, since it is smaller than the sum of its proper divisors (258362090219520).

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

77995507968000 is a wasteful number, since it uses less digits than its factorization.

77995507968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 77995507968000 in words is "seventy-seven trillion, nine hundred ninety-five billion, five hundred seven million, nine hundred sixty-eight thousand".