12806800 has 60 divisors (see below), whose sum is σ = 31170996. Its totient is φ = 5056000.

The previous prime is 12806749. The next prime is 12806861. The reversal of 12806800 is 860821.

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 12616704 = 436^2 + 3552^2 .

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, 40242 + ... + 40558.

Almost surely, 2^12806800 is an apocalyptic number.

12806800 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 12806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585498).

12806800 is an abundant number, since it is smaller than the sum of its proper divisors (18364196).

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

12806800 is a wasteful number, since it uses less digits than its factorization.

12806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12806800 is about 3578.6589667081. The cubic root of 12806800 is about 233.9628353084.

The spelling of 12806800 in words is "twelve million, eight hundred six thousand, eight hundred".