13782800 has 30 divisors (see below), whose sum is σ = 33114138. Its totient is φ = 5512960.

The previous prime is 13782793. The next prime is 13782829. The reversal of 13782800 is 828731.

It can be written as a sum of positive squares in 3 ways, for example, as 1364224 + 12418576 = 1168^2 + 3524^2 .

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, 16829 + ... + 17628.

Almost surely, 2^13782800 is an apocalyptic number.

13782800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782800 is an abundant number, since it is smaller than the sum of its proper divisors (19331338).

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

13782800 is a wasteful number, since it uses less digits than its factorization.

13782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34475 (or 34464 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 13782800 is about 3712.5193602189. The cubic root of 13782800 is about 239.7613368189.

The spelling of 13782800 in words is "thirteen million, seven hundred eighty-two thousand, eight hundred".