78713625600 has 396 divisors, whose sum is σ = 296681781240. Its totient is φ = 19884441600.

The previous prime is 78713625563. The next prime is 78713625623. The reversal of 78713625600 is 652631787.

78713625600 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 36 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4368610 + ... + 4386590.

Almost surely, 2^78713625600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78713625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148340890620).

78713625600 is an abundant number, since it is smaller than the sum of its proper divisors (217968155640).

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

78713625600 is a wasteful number, since it uses less digits than its factorization.

78713625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036 (or 18010 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 78713625600 in words is "seventy-eight billion, seven hundred thirteen million, six hundred twenty-five thousand, six hundred".