78951628800 has 1080 divisors, whose sum is σ = 324236018400. Its totient is φ = 18815385600.

The previous prime is 78951628793. The next prime is 78951628801. The reversal of 78951628800 is 882615987.

78951628800 is a `hidden beast` number, since 7 + 8 + 9 + 5 + 1 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78951628801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338163171 + ... + 1338163229.

Almost surely, 2^78951628800 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 78951628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162118009200).

78951628800 is an abundant number, since it is smaller than the sum of its proper divisors (245284389600).

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

78951628800 is a wasteful number, since it uses less digits than its factorization.

78951628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 78951628800 in words is "seventy-eight billion, nine hundred fifty-one million, six hundred twenty-eight thousand, eight hundred".