77931745056 has 192 divisors, whose sum is σ = 248281165440. Its totient is φ = 23585541120.

The previous prime is 77931745007. The next prime is 77931745057. The reversal of 77931745056 is 65054713977.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77931744993 and 77931745011.

It is not an unprimeable number, because it can be changed into a prime (77931745057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8102106 + ... + 8111718.

It is an arithmetic number, because the mean of its divisors is an integer number (1293131070).

Almost surely, 2^77931745056 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 77931745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124140582720).

77931745056 is an abundant number, since it is smaller than the sum of its proper divisors (170349420384).

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

77931745056 is a wasteful number, since it uses less digits than its factorization.

77931745056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10496 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 77931745056 in words is "seventy-seven billion, nine hundred thirty-one million, seven hundred forty-five thousand, fifty-six".