8877408400 has 135 divisors (see below), whose sum is σ = 24847011531. Its totient is φ = 3039160320.

The previous prime is 8877408389. The next prime is 8877408413. The reversal of 8877408400 is 48047788.

The square root of 8877408400 is 94220.

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 869306256 + 8008102144 = 29484^2 + 89488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13190464 + ... + 13191136.

Almost surely, 2^8877408400 is an apocalyptic number.

8877408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8877408400 is the 94220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8877408400

8877408400 is an abundant number, since it is smaller than the sum of its proper divisors (15969603131).

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

8877408400 is an equidigital number, since it uses as much as digits as its factorization.

8877408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The cubic root of 8877408400 is about 2070.5961393782.

The spelling of 8877408400 in words is "eight billion, eight hundred seventy-seven million, four hundred eight thousand, four hundred".