13380800 has 42 divisors (see below), whose sum is σ = 32929068. Its totient is φ = 5351680.

The previous prime is 13380799. The next prime is 13380817. The reversal of 13380800 is 808331.

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, 2582 + ... + 5781.

Almost surely, 2^13380800 is an apocalyptic number.

13380800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13380800 is an abundant number, since it is smaller than the sum of its proper divisors (19548268).

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

13380800 is an equidigital number, since it uses as much as digits as its factorization.

13380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13380800 is about 3657.9775833102. The cubic root of 13380800 is about 237.4072768237.

The spelling of 13380800 in words is "thirteen million, three hundred eighty thousand, eight hundred".