77638884960 has 576 divisors, whose sum is σ = 316296658944. Its totient is φ = 15850598400.

The previous prime is 77638884923. The next prime is 77638884977. The reversal of 77638884960 is 6948883677.

It is a super-2 number, since 2×77638884960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77638884891 and 77638884900.

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, 9474465 + ... + 9482655.

It is an arithmetic number, because the mean of its divisors is an integer number (549126144).

Almost surely, 2^77638884960 is an apocalyptic number.

77638884960 is a gapful number since it is divisible by the number (70) 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 77638884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158148329472).

77638884960 is an abundant number, since it is smaller than the sum of its proper divisors (238657773984).

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

77638884960 is a wasteful number, since it uses less digits than its factorization.

77638884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 77638884960 in words is "seventy-seven billion, six hundred thirty-eight million, eight hundred eighty-four thousand, nine hundred sixty".