77806776960 has 256 divisors, whose sum is σ = 300617827200. Its totient is φ = 18862202880.

The previous prime is 77806776959. The next prime is 77806776989. The reversal of 77806776960 is 6967760877.

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, 14589 + ... + 394748.

Almost surely, 2^77806776960 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 77806776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150308913600).

77806776960 is an abundant number, since it is smaller than the sum of its proper divisors (222811050240).

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

77806776960 is a wasteful number, since it uses less digits than its factorization.

77806776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409376 (or 409358 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 77806776960 in words is "seventy-seven billion, eight hundred six million, seven hundred seventy-six thousand, nine hundred sixty".