12800800 has 36 divisors (see below), whose sum is σ = 31251906. Its totient is φ = 5120000.

The previous prime is 12800797. The next prime is 12800831. The reversal of 12800800 is 800821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11370384 + 1430416 = 3372^2 + 1196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7201 + ... + 8800.

Almost surely, 2^12800800 is an apocalyptic number.

12800800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12800800 is an abundant number, since it is smaller than the sum of its proper divisors (18451106).

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

12800800 is a wasteful number, since it uses less digits than its factorization.

12800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 12800800 is about 3577.8205656517. The cubic root of 12800800 is about 233.9262923184.

It can be divided in two parts, 12800 and 800, that multiplied together give a square (10240000 = 3200²).

The spelling of 12800800 in words is "twelve million, eight hundred thousand, eight hundred".