78990856560 has 1600 divisors, whose sum is σ = 364013844480. Its totient is φ = 15397724160.

The previous prime is 78990856559. The next prime is 78990856579. The reversal of 78990856560 is 6565809987.

78990856560 is a `hidden beast` number, since 7 + 8 + 9 + 9 + 0 + 8 + 565 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 766901469 + ... + 766901571.

Almost surely, 2^78990856560 is an apocalyptic number.

78990856560 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 78990856560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182006922240).

78990856560 is an abundant number, since it is smaller than the sum of its proper divisors (285022987920).

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

78990856560 is a wasteful number, since it uses less digits than its factorization.

78990856560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 78990856560 in words is "seventy-eight billion, nine hundred ninety million, eight hundred fifty-six thousand, five hundred sixty".