77694080256 has 360 divisors, whose sum is σ = 250424453664. Its totient is φ = 23816540160.

The previous prime is 77694080251. The next prime is 77694080257. The reversal of 77694080256 is 65208049677.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77694080251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132357595 + ... + 132358181.

Almost surely, 2^77694080256 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 77694080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125212226832).

77694080256 is an abundant number, since it is smaller than the sum of its proper divisors (172730373408).

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

77694080256 is a wasteful number, since it uses less digits than its factorization.

77694080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77694080256 in words is "seventy-seven billion, six hundred ninety-four million, eighty thousand, two hundred fifty-six".