78276878400 has 168 divisors, whose sum is σ = 293501145280. Its totient is φ = 17891850240.

The previous prime is 78276878353. The next prime is 78276878411. The reversal of 78276878400 is 487867287.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×78276878400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131235 + ... + 1198434.

Almost surely, 2^78276878400 is an apocalyptic number.

78276878400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78276878400 is an abundant number, since it is smaller than the sum of its proper divisors (215224266880).

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

78276878400 is a wasteful number, since it uses less digits than its factorization.

78276878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329701 (or 2329686 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

It can be divided in two parts, 782768 and 78400, that added together give a palindrome (861168).

The spelling of 78276878400 in words is "seventy-eight billion, two hundred seventy-six million, eight hundred seventy-eight thousand, four hundred".