12716800 has 54 divisors (see below), whose sum is σ = 31491908. Its totient is φ = 5084160.

The previous prime is 12716791. The next prime is 12716807. The reversal of 12716800 is 861721.

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

It is not an unprimeable number, because it can be changed into a prime (12716807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5407 + ... + 7393.

Almost surely, 2^12716800 is an apocalyptic number.

12716800 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 12716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745954).

12716800 is an abundant number, since it is smaller than the sum of its proper divisors (18775108).

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

12716800 is an equidigital number, since it uses as much as digits as its factorization.

12716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12716800 is about 3566.0622540836. The cubic root of 12716800 is about 233.4134872019.

The spelling of 12716800 in words is "twelve million, seven hundred sixteen thousand, eight hundred".