78570086400 has 672 divisors, whose sum is σ = 311143314720. Its totient is φ = 19322634240.

The previous prime is 78570086389. The next prime is 78570086407. The reversal of 78570086400 is 468007587.

78570086400 is a `hidden beast` number, since 78 + 570 + 0 + 8 + 6 + 4 + 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 not an unprimeable number, because it can be changed into a prime (78570086407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884254 + ... + 71885346.

It is an arithmetic number, because the mean of its divisors is an integer number (463010885).

Almost surely, 2^78570086400 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 78570086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155571657360).

78570086400 is an abundant number, since it is smaller than the sum of its proper divisors (232573228320).

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

78570086400 is a wasteful number, since it uses less digits than its factorization.

78570086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78570086400 in words is "seventy-eight billion, five hundred seventy million, eighty-six thousand, four hundred".