8879630400 has 672 divisors, whose sum is σ = 34900087680. Its totient is φ = 2188247040.

The previous prime is 8879630381. The next prime is 8879630413. The reversal of 8879630400 is 40369788.

It is a happy number.

8879630400 is a `hidden beast` number, since 8 + 8 + 7 + 9 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78580744 + ... + 78580856.

Almost surely, 2^8879630400 is an apocalyptic number.

8879630400 is a gapful number since it is divisible by the number (80) 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 8879630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450043840).

8879630400 is an abundant number, since it is smaller than the sum of its proper divisors (26020457280).

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

8879630400 is a wasteful number, since it uses less digits than its factorization.

8879630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8879630400 is about 94231.7908139286. The cubic root of 8879630400 is about 2070.7688805133.

The spelling of 8879630400 in words is "eight billion, eight hundred seventy-nine million, six hundred thirty thousand, four hundred".