8628800400 has 900 divisors, whose sum is σ = 35632219392. Its totient is φ = 1995840000.

The previous prime is 8628800399. The next prime is 8628800473. The reversal of 8628800400 is 40088268.

It is a tau number, because it is divible by the number of its divisors (900).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 121532365 + ... + 121532435.

Almost surely, 2^8628800400 is an apocalyptic number.

8628800400 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 8628800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816109696).

8628800400 is an abundant number, since it is smaller than the sum of its proper divisors (27003418992).

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

8628800400 is a wasteful number, since it uses less digits than its factorization.

8628800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8628800400 is about 92891.3365174600. The cubic root of 8628800400 is about 2051.0841301127.

Adding to 8628800400 its reverse (40088268), we get a palindrome (8668888668).

The spelling of 8628800400 in words is "eight billion, six hundred twenty-eight million, eight hundred thousand, four hundred".