13772800 has 72 divisors (see below), whose sum is σ = 34275150. Its totient is φ = 5488640.

The previous prime is 13772753. The next prime is 13772809. The reversal of 13772800 is 827731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 7054336 = 2592^2 + 2656^2 .

It is not an unprimeable number, because it can be changed into a prime (13772809) 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, 51066 + ... + 51334.

Almost surely, 2^13772800 is an apocalyptic number.

13772800 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 13772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137575).

13772800 is an abundant number, since it is smaller than the sum of its proper divisors (20502350).

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

13772800 is an equidigital number, since it uses as much as digits as its factorization.

13772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 13772800 is about 3711.1723215178. The cubic root of 13772800 is about 239.7033371513.

The spelling of 13772800 in words is "thirteen million, seven hundred seventy-two thousand, eight hundred".