77456685312 has 216 divisors, whose sum is σ = 242668258560. Its totient is φ = 23670558720.

The previous prime is 77456685311. The next prime is 77456685349. The reversal of 77456685312 is 21358665477.

77456685312 is a `hidden beast` number, since 7 + 7 + 45 + 6 + 68 + 531 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (77456685311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328518 + ... + 1385594.

It is an arithmetic number, because the mean of its divisors is an integer number (1123464160).

Almost surely, 2^77456685312 is an apocalyptic number.

77456685312 is a gapful number since it is divisible by the number (72) 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 77456685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121334129280).

77456685312 is an abundant number, since it is smaller than the sum of its proper divisors (165211573248).

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

77456685312 is a wasteful number, since it uses less digits than its factorization.

77456685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57149 (or 57132 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 77456685312 in words is "seventy-seven billion, four hundred fifty-six million, six hundred eighty-five thousand, three hundred twelve".