78674756160 has 1792 divisors, whose sum is σ = 367047475200. Its totient is φ = 13735526400.

The previous prime is 78674756119. The next prime is 78674756189. The reversal of 78674756160 is 6165747687.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 78674756160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 566005371 + ... + 566005509.

It is an arithmetic number, because the mean of its divisors is an integer number (204825600).

Almost surely, 2^78674756160 is an apocalyptic number.

78674756160 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 78674756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183523737600).

78674756160 is an abundant number, since it is smaller than the sum of its proper divisors (288372719040).

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

78674756160 is a wasteful number, since it uses less digits than its factorization.

78674756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 78674756160 in words is "seventy-eight billion, six hundred seventy-four million, seven hundred fifty-six thousand, one hundred sixty".