78556878400 has 945 divisors, whose sum is σ = 268399223043. Its totient is φ = 22601779200.

The previous prime is 78556878359. The next prime is 78556878473. The reversal of 78556878400 is 487865587.

It is a happy number.

The square root of 78556878400 is 280280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20248151616 + 58308726784 = 142296^2 + 241472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6042836794 + ... + 6042836806.

Almost surely, 2^78556878400 is an apocalyptic number.

78556878400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78556878400 is the 280280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78556878400

78556878400 is an abundant number, since it is smaller than the sum of its proper divisors (189842344643).

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

78556878400 is a wasteful number, since it uses less digits than its factorization.

78556878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 58.

The spelling of 78556878400 in words is "seventy-eight billion, five hundred fifty-six million, eight hundred seventy-eight thousand, four hundred".