12772800 has 126 divisors (see below), whose sum is σ = 45448728. Its totient is φ = 3402240.

The previous prime is 12772777. The next prime is 12772801. The reversal of 12772800 is 827721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13957 + ... + 14843.

Almost surely, 2^12772800 is an apocalyptic number.

12772800 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 12772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724364).

12772800 is an abundant number, since it is smaller than the sum of its proper divisors (32675928).

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

12772800 is a wasteful number, since it uses less digits than its factorization.

12772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12772800 is about 3573.9054268405. The cubic root of 12772800 is about 233.7556072130.

It can be divided in two parts, 127 and 72800, that added together give a palindrome (72927).

The spelling of 12772800 in words is "twelve million, seven hundred seventy-two thousand, eight hundred".