8880800 has 72 divisors (see below), whose sum is σ = 22990716. Its totient is φ = 3338240.

The previous prime is 8880799. The next prime is 8880811. The reversal of 8880800 is 80888.

8880800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3254416 + 5626384 = 1804^2 + 2372^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13274 + ... + 13926.

Almost surely, 2^8880800 is an apocalyptic number.

8880800 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 8880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495358).

8880800 is an abundant number, since it is smaller than the sum of its proper divisors (14109916).

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

8880800 is a wasteful number, since it uses less digits than its factorization.

8880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 8880800 is about 2980.0671133382. The cubic root of 8880800 is about 207.0859795144.

The spelling of 8880800 in words is "eight million, eight hundred eighty thousand, eight hundred".