8854790400 has 1080 divisors, whose sum is σ = 36801811200. Its totient is φ = 2090188800.

The previous prime is 8854790359. The next prime is 8854790453. The reversal of 8854790400 is 40974588.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 285638385 + ... + 285638415.

Almost surely, 2^8854790400 is an apocalyptic number.

8854790400 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 8854790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400905600).

8854790400 is an abundant number, since it is smaller than the sum of its proper divisors (27947020800).

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

8854790400 is a wasteful number, since it uses less digits than its factorization.

8854790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8854790400 is about 94099.8958554153. The cubic root of 8854790400 is about 2068.8361447381.

The spelling of 8854790400 in words is "eight billion, eight hundred fifty-four million, seven hundred ninety thousand, four hundred".