12776200 has 48 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 5060160.

The previous prime is 12776177. The next prime is 12776207. The reversal of 12776200 is 267721.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12776207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25149 + ... + 25651.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^12776200 is an apocalyptic number.

12776200 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 12776200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12776200 is an abundant number, since it is smaller than the sum of its proper divisors (17221880).

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

12776200 is a wasteful number, since it uses less digits than its factorization.

12776200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 12776200 is about 3574.3810653035. The cubic root of 12776200 is about 233.7763465589.

The spelling of 12776200 in words is "twelve million, seven hundred seventy-six thousand, two hundred".