77739918256 has 320 divisors, whose sum is σ = 218536012800. Its totient is φ = 26309283840.

The previous prime is 77739918181. The next prime is 77739918287. The reversal of 77739918256 is 65281993777.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13338415 + ... + 13344241.

It is an arithmetic number, because the mean of its divisors is an integer number (682925040).

Almost surely, 2^77739918256 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 77739918256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109268006400).

77739918256 is an abundant number, since it is smaller than the sum of its proper divisors (140796094544).

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

77739918256 is a wasteful number, since it uses less digits than its factorization.

77739918256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5877 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 64.

The spelling of 77739918256 in words is "seventy-seven billion, seven hundred thirty-nine million, nine hundred eighteen thousand, two hundred fifty-six".