78579933696 has 480 divisors, whose sum is σ = 262745683200. Its totient is φ = 22358384640.

The previous prime is 78579933671. The next prime is 78579933713. The reversal of 78579933696 is 69633997587.

78579933696 is a `hidden beast` number, since 78 + 57 + 99 + 336 + 96 = 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 47 ways as a sum of consecutive naturals, for example, 133866715 + ... + 133867301.

It is an arithmetic number, because the mean of its divisors is an integer number (547386840).

Almost surely, 2^78579933696 is an apocalyptic number.

78579933696 is a gapful number since it is divisible by the number (76) 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 78579933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131372841600).

78579933696 is an abundant number, since it is smaller than the sum of its proper divisors (184165749504).

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

78579933696 is a wasteful number, since it uses less digits than its factorization.

78579933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 78579933696 in words is "seventy-eight billion, five hundred seventy-nine million, nine hundred thirty-three thousand, six hundred ninety-six".