77976930960 has 280 divisors, whose sum is σ = 272607980544. Its totient is φ = 20733615360.

The previous prime is 77976930959. The next prime is 77976930971. The reversal of 77976930960 is 6903967977.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22334815 + ... + 22338305.

Almost surely, 2^77976930960 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 77976930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136303990272).

77976930960 is an abundant number, since it is smaller than the sum of its proper divisors (194631049584).

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

77976930960 is a wasteful number, since it uses less digits than its factorization.

77976930960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The spelling of 77976930960 in words is "seventy-seven billion, nine hundred seventy-six million, nine hundred thirty thousand, nine hundred sixty".