13758800 has 120 divisors (see below), whose sum is σ = 37363680. Its totient is φ = 4825600.

The previous prime is 13758791. The next prime is 13758803. The reversal of 13758800 is 885731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758803) 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 23 ways as a sum of consecutive naturals, for example, 233171 + ... + 233229.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 2^13758800 is an apocalyptic number.

13758800 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 13758800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681840).

13758800 is an abundant number, since it is smaller than the sum of its proper divisors (23604880).

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

13758800 is a wasteful number, since it uses less digits than its factorization.

13758800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 13758800 is about 3709.2856455118. The cubic root of 13758800 is about 239.6220904323.

The spelling of 13758800 in words is "thirteen million, seven hundred fifty-eight thousand, eight hundred".