13804800 has 108 divisors (see below), whose sum is σ = 45622080. Its totient is φ = 3676160.

The previous prime is 13804789. The next prime is 13804801. The reversal of 13804800 is 840831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804801) 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, 18841 + ... + 19559.

Almost surely, 2^13804800 is an apocalyptic number.

13804800 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 13804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040).

13804800 is an abundant number, since it is smaller than the sum of its proper divisors (31817280).

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

13804800 is an equidigital number, since it uses as much as digits as its factorization.

13804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13804800 is about 3715.4811263146. The cubic root of 13804800 is about 239.8888374088. Note that the first 4 decimals are identical.

The spelling of 13804800 in words is "thirteen million, eight hundred four thousand, eight hundred".