8790494400 has 504 divisors, whose sum is σ = 33349539600. Its totient is φ = 2195804160.

The previous prime is 8790494359. The next prime is 8790494411. The reversal of 8790494400 is 44940978.

8790494400 is a `hidden beast` number, since 87 + 90 + 49 + 440 + 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 71 ways as a sum of consecutive naturals, for example, 98769556 + ... + 98769644.

Almost surely, 2^8790494400 is an apocalyptic number.

8790494400 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 8790494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674769800).

8790494400 is an abundant number, since it is smaller than the sum of its proper divisors (24559045200).

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

8790494400 is a wasteful number, since it uses less digits than its factorization.

8790494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 118 counting only the distinct ones).

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

The square root of 8790494400 is about 93757.6364889815. The cubic root of 8790494400 is about 2063.8165962869.

The spelling of 8790494400 in words is "eight billion, seven hundred ninety million, four hundred ninety-four thousand, four hundred".