12802800 has 120 divisors (see below), whose sum is σ = 42068736. Its totient is φ = 3326720.

The previous prime is 12802799. The next prime is 12802817. The reversal of 12802800 is 820821.

12802800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56287 + ... + 56513.

Almost surely, 2^12802800 is an apocalyptic number.

12802800 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 12802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034368).

12802800 is an abundant number, since it is smaller than the sum of its proper divisors (29265936).

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

12802800 is a wasteful number, since it uses less digits than its factorization.

12802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12802800 is about 3578.1000544982. The cubic root of 12802800 is about 233.9384745836.

The spelling of 12802800 in words is "twelve million, eight hundred two thousand, eight hundred".