13378400 has 72 divisors (see below), whose sum is σ = 37341360. Its totient is φ = 4584960.

The previous prime is 13378399. The next prime is 13378403. The reversal of 13378400 is 487331.

It is a self number, because there is not a number n which added to its sum of digits gives 13378400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378403) 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, 4406 + ... + 6794.

It is an arithmetic number, because the mean of its divisors is an integer number (518630).

Almost surely, 2^13378400 is an apocalyptic number.

13378400 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 13378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670680).

13378400 is an abundant number, since it is smaller than the sum of its proper divisors (23962960).

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

13378400 is a wasteful number, since it uses less digits than its factorization.

13378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13378400 is about 3657.6495184749. The cubic root of 13378400 is about 237.3930820687.

The spelling of 13378400 in words is "thirteen million, three hundred seventy-eight thousand, four hundred".