13768800 has 72 divisors (see below), whose sum is σ = 44825256. Its totient is φ = 3671040.

The previous prime is 13768753. The next prime is 13768819. The reversal of 13768800 is 886731.

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, 469 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (622573).

Almost surely, 2^13768800 is an apocalyptic number.

13768800 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 13768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412628).

13768800 is an abundant number, since it is smaller than the sum of its proper divisors (31056456).

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

13768800 is a wasteful number, since it uses less digits than its factorization.

13768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 13768800 is about 3710.6333691164. The cubic root of 13768800 is about 239.6801294233.

The spelling of 13768800 in words is "thirteen million, seven hundred sixty-eight thousand, eight hundred".