76789416960 has 352 divisors, whose sum is σ = 275596289280. Its totient is φ = 20274610176.

The previous prime is 76789416953. The next prime is 76789416973. The reversal of 76789416960 is 6961498767.

It is a super-2 number, since 2×76789416960² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14236024 + ... + 14241416.

Almost surely, 2^76789416960 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 76789416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137798144640).

76789416960 is an abundant number, since it is smaller than the sum of its proper divisors (198806872320).

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

76789416960 is a wasteful number, since it uses less digits than its factorization.

76789416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 76789416960 in words is "seventy-six billion, seven hundred eighty-nine million, four hundred sixteen thousand, nine hundred sixty".