8790400 has 96 divisors (see below), whose sum is σ = 22576680. Its totient is φ = 3379200.

The previous prime is 8790323. The next prime is 8790403. The reversal of 8790400 is 40978.

It is a super-2 number, since 2×8790400² = 154542264320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8790403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131167 + ... + 131233.

Almost surely, 2^8790400 is an apocalyptic number.

8790400 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 8790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288340).

8790400 is an abundant number, since it is smaller than the sum of its proper divisors (13786280).

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

8790400 is a wasteful number, since it uses less digits than its factorization.

8790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8790400 is about 2964.8608736330. The cubic root of 8790400 is about 206.3809208573.

The spelling of 8790400 in words is "eight million, seven hundred ninety thousand, four hundred".