78512716800 has 924 divisors, whose sum is σ = 334030540816. Its totient is φ = 17915904000.

The previous prime is 78512716783. The next prime is 78512716829. The reversal of 78512716800 is 861721587.

It is a happy number.

78512716800 is a `hidden beast` number, since 7 + 8 + 512 + 71 + 68 + 0 + 0 = 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 83 ways as a sum of consecutive naturals, for example, 130636500 + ... + 130637100.

Almost surely, 2^78512716800 is an apocalyptic number.

78512716800 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 78512716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167015270408).

78512716800 is an abundant number, since it is smaller than the sum of its proper divisors (255517824016).

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

78512716800 is an equidigital number, since it uses as much as digits as its factorization.

78512716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 78512716800 in words is "seventy-eight billion, five hundred twelve million, seven hundred sixteen thousand, eight hundred".