12802400 has 72 divisors (see below), whose sum is σ = 33685344. Its totient is φ = 4723200.

The previous prime is 12802399. The next prime is 12802403. The reversal of 12802400 is 420821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12802403) 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, 9785 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (467852).

Almost surely, 2^12802400 is an apocalyptic number.

12802400 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 12802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842672).

12802400 is an abundant number, since it is smaller than the sum of its proper divisors (20882944).

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

12802400 is a wasteful number, since it uses less digits than its factorization.

12802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12802400 is about 3578.0441584754. The cubic root of 12802400 is about 233.9360382321.

The spelling of 12802400 in words is "twelve million, eight hundred two thousand, four hundred".