12804800 has 84 divisors (see below), whose sum is σ = 32314896. Its totient is φ = 4992000.

The previous prime is 12804793. The next prime is 12804809. The reversal of 12804800 is 840821.

It is not an unprimeable number, because it can be changed into a prime (12804809) 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, 84725 + ... + 84875.

Almost surely, 2^12804800 is an apocalyptic number.

12804800 is a gapful number since it is divisible by the number (10) 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 12804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157448).

12804800 is an abundant number, since it is smaller than the sum of its proper divisors (19510096).

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

12804800 is a wasteful number, since it uses less digits than its factorization.

12804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 12804800 is about 3578.3795215153. The cubic root of 12804800 is about 233.9506555802.

The spelling of 12804800 in words is "twelve million, eight hundred four thousand, eight hundred".