77964868960 has 192 divisors, whose sum is σ = 203371560000. Its totient is φ = 28242677760.

The previous prime is 77964868897. The next prime is 77964868973. The reversal of 77964868960 is 6986846977.

It is a self number, because there is not a number n which added to its sum of digits gives 77964868960.

It is a congruent number.

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, 74322516 + ... + 74323564.

It is an arithmetic number, because the mean of its divisors is an integer number (1059226875).

Almost surely, 2^77964868960 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 77964868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101685780000).

77964868960 is an abundant number, since it is smaller than the sum of its proper divisors (125406691040).

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

77964868960 is a wasteful number, since it uses less digits than its factorization.

77964868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 77964868960 in words is "seventy-seven billion, nine hundred sixty-four million, eight hundred sixty-eight thousand, nine hundred sixty".