76777968960 has 672 divisors, whose sum is σ = 341468854272. Its totient is φ = 15952619520.

The previous prime is 76777968829. The next prime is 76777968973. The reversal of 76777968960 is 6986977767.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5981109 + ... + 5993931.

It is an arithmetic number, because the mean of its divisors is an integer number (508138176).

Almost surely, 2^76777968960 is an apocalyptic number.

76777968960 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 76777968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170734427136).

76777968960 is an abundant number, since it is smaller than the sum of its proper divisors (264690885312).

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

76777968960 is a wasteful number, since it uses less digits than its factorization.

76777968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12873 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 76777968960 in words is "seventy-six billion, seven hundred seventy-seven million, nine hundred sixty-eight thousand, nine hundred sixty".