13780400 has 60 divisors (see below), whose sum is σ = 33857952. Its totient is φ = 5387520.

The previous prime is 13780397. The next prime is 13780433. The reversal of 13780400 is 408731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18434 + ... + 19166.

Almost surely, 2^13780400 is an apocalyptic number.

13780400 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 13780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928976).

13780400 is an abundant number, since it is smaller than the sum of its proper divisors (20077552).

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

13780400 is a wasteful number, since it uses less digits than its factorization.

13780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13780400 is about 3712.1961155090. The cubic root of 13780400 is about 239.7474194579.

The spelling of 13780400 in words is "thirteen million, seven hundred eighty thousand, four hundred".