77579960513328 has 800 divisors, whose sum is σ = 282153940992000. Its totient is φ = 20449155718656.

The previous prime is 77579960513213. The next prime is 77579960513347. The reversal of 77579960513328 is 82331506997577.

77579960513328 is a `hidden beast` number, since 7 + 7 + 5 + 7 + 9 + 9 + 605 + 1 + 3 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16637347125 + ... + 16637351787.

It is an arithmetic number, because the mean of its divisors is an integer number (352692426240).

Almost surely, 2^{77579960513328} is an apocalyptic number.

77579960513328 is a gapful number since it is divisible by the number (78) 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 77579960513328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141076970496000).

77579960513328 is an abundant number, since it is smaller than the sum of its proper divisors (204573980478672).

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

77579960513328 is a wasteful number, since it uses less digits than its factorization.

77579960513328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 77579960513328 in words is "seventy-seven trillion, five hundred seventy-nine billion, nine hundred sixty million, five hundred thirteen thousand, three hundred twenty-eight".