13760800 has 72 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 5418240.

The previous prime is 13760797. The next prime is 13760809. The reversal of 13760800 is 806731.

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 not an unprimeable number, because it can be changed into a prime (13760809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82317 + ... + 82483.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^13760800 is an apocalyptic number.

13760800 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 13760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

13760800 is an abundant number, since it is smaller than the sum of its proper divisors (20362016).

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

13760800 is a wasteful number, since it uses less digits than its factorization.

13760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13760800 is about 3709.5552294042. Note that the first 3 decimals coincide. The cubic root of 13760800 is about 239.6337004798.

The spelling of 13760800 in words is "thirteen million, seven hundred sixty thousand, eight hundred".