12704800 has 36 divisors (see below), whose sum is σ = 31017546. Its totient is φ = 5081600.

The previous prime is 12704779. The next prime is 12704803. The reversal of 12704800 is 840721.

It can be written as a sum of positive squares in 3 ways, for example, as 11806096 + 898704 = 3436^2 + 948^2 .

It is a super-2 number, since 2×12704800² = 322823886080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7141 + ... + 8740.

Almost surely, 2^12704800 is an apocalyptic number.

12704800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12704800 is an abundant number, since it is smaller than the sum of its proper divisors (18312746).

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

12704800 is a wasteful number, since it uses less digits than its factorization.

12704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12704800 is about 3564.3793288594. The cubic root of 12704800 is about 233.3400451584.

The spelling of 12704800 in words is "twelve million, seven hundred four thousand, eight hundred".