13780800 has 336 divisors, whose sum is σ = 56692800. Its totient is φ = 3225600.

The previous prime is 13780799. The next prime is 13780813. The reversal of 13780800 is 808731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475186 + ... + 475214.

Almost surely, 2^13780800 is an apocalyptic number.

13780800 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 13780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

13780800 is an abundant number, since it is smaller than the sum of its proper divisors (42912000).

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

13780800 is a wasteful number, since it uses less digits than its factorization.

13780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 13780800 is about 3712.2499915819. The cubic root of 13780800 is about 239.7497391303.

The spelling of 13780800 in words is "thirteen million, seven hundred eighty thousand, eight hundred".