77899092656 has 480 divisors, whose sum is σ = 213286348800. Its totient is φ = 26674053120.

The previous prime is 77899092647. The next prime is 77899092697. The reversal of 77899092656 is 65629099877.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875270660 + ... + 875270748.

It is an arithmetic number, because the mean of its divisors is an integer number (444346560).

Almost surely, 2^77899092656 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 77899092656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106643174400).

77899092656 is an abundant number, since it is smaller than the sum of its proper divisors (135387256144).

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

77899092656 is a wasteful number, since it uses less digits than its factorization.

77899092656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 68.

The spelling of 77899092656 in words is "seventy-seven billion, eight hundred ninety-nine million, ninety-two thousand, six hundred fifty-six".