13790400 has 252 divisors, whose sum is σ = 51873912. Its totient is φ = 3194880.

The previous prime is 13790389. The next prime is 13790419. The reversal of 13790400 is 409731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811192 + ... + 811208.

Almost surely, 2^13790400 is an apocalyptic number.

13790400 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 13790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936956).

13790400 is an abundant number, since it is smaller than the sum of its proper divisors (38083512).

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

13790400 is a wasteful number, since it uses less digits than its factorization.

13790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13790400 is about 3713.5427828423. The cubic root of 13790400 is about 239.8053978065.

The spelling of 13790400 in words is "thirteen million, seven hundred ninety thousand, four hundred".