13781800 has 24 divisors (see below), whose sum is σ = 32043150. Its totient is φ = 5512640.

The previous prime is 13781777. The next prime is 13781827. The reversal of 13781800 is 818731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11573604 + 2208196 = 3402^2 + 1486^2 .

It is a super-2 number, since 2×13781800² = 379876022480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34255 + ... + 34654.

Almost surely, 2^13781800 is an apocalyptic number.

13781800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13781800 is an abundant number, since it is smaller than the sum of its proper divisors (18261350).

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

13781800 is a wasteful number, since it uses less digits than its factorization.

13781800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68925 (or 68916 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 13781800 is about 3712.3846783436. The cubic root of 13781800 is about 239.7555381149.

The spelling of 13781800 in words is "thirteen million, seven hundred eighty-one thousand, eight hundred".