12736800 has 216 divisors, whose sum is σ = 47223540. Its totient is φ = 3225600.

The previous prime is 12736799. The next prime is 12736811. The reversal of 12736800 is 863721.

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 11209104 = 1236^2 + 3348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208770 + ... + 208830.

Almost surely, 2^12736800 is an apocalyptic number.

12736800 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 12736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611770).

12736800 is an abundant number, since it is smaller than the sum of its proper divisors (34486740).

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

12736800 is a wasteful number, since it uses less digits than its factorization.

12736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12736800 is about 3568.8653659111. The cubic root of 12736800 is about 233.5357880056.

The spelling of 12736800 in words is "twelve million, seven hundred thirty-six thousand, eight hundred".