12752800 has 72 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 4826880.

The previous prime is 12752777. The next prime is 12752813. The reversal of 12752800 is 825721.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14781 + ... + 15619.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^12752800 is an apocalyptic number.

12752800 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 12752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

12752800 is an abundant number, since it is smaller than the sum of its proper divisors (20057600).

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

12752800 is a wasteful number, since it uses less digits than its factorization.

12752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 12752800 is about 3571.1062711714. The cubic root of 12752800 is about 233.6335365000.

The spelling of 12752800 in words is "twelve million, seven hundred fifty-two thousand, eight hundred".