76977561600 has 336 divisors, whose sum is σ = 282824316240. Its totient is φ = 20525875200.

The previous prime is 76977561599. The next prime is 76977561611. The reversal of 76977561600 is 616577967.

It is a happy number.

76977561600 is a `hidden beast` number, since 7 + 6 + 9 + 77 + 561 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5522640 + ... + 5536560.

Almost surely, 2^76977561600 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 76977561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141412158120).

76977561600 is an abundant number, since it is smaller than the sum of its proper divisors (205846754640).

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

76977561600 is a wasteful number, since it uses less digits than its factorization.

76977561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 76977561600 in words is "seventy-six billion, nine hundred seventy-seven million, five hundred sixty-one thousand, six hundred".