78904022400 has 768 divisors, whose sum is σ = 331903756800. Its totient is φ = 17932492800.

The previous prime is 78904022399. The next prime is 78904022419. The reversal of 78904022400 is 422040987.

78904022400 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 402 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171158170 + ... + 171158630.

It is an arithmetic number, because the mean of its divisors is an integer number (432166350).

Almost surely, 2^78904022400 is an apocalyptic number.

78904022400 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 78904022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165951878400).

78904022400 is an abundant number, since it is smaller than the sum of its proper divisors (252999734400).

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

78904022400 is a wasteful number, since it uses less digits than its factorization.

78904022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 78904022400 in words is "seventy-eight billion, nine hundred four million, twenty-two thousand, four hundred".