12795200 has 84 divisors (see below), whose sum is σ = 34393632. Its totient is φ = 4646400.

The previous prime is 12795193. The next prime is 12795241. The reversal of 12795200 is 259721.

It is a self number, because there is not a number n which added to its sum of digits gives 12795200.

It is a congruent number.

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, 17237 + ... + 17963.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^12795200 is an apocalyptic number.

12795200 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 12795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

12795200 is an abundant number, since it is smaller than the sum of its proper divisors (21598432).

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

12795200 is a wasteful number, since it uses less digits than its factorization.

12795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12795200 is about 3577.0378807052. The cubic root of 12795200 is about 233.8921752239.

The spelling of 12795200 in words is "twelve million, seven hundred ninety-five thousand, two hundred".