13802800 has 60 divisors (see below), whose sum is σ = 36187416. Its totient is φ = 5017600.

The previous prime is 13802791. The next prime is 13802807. The reversal of 13802800 is 820831.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13802807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 5968.

Almost surely, 2^13802800 is an apocalyptic number.

13802800 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 13802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093708).

13802800 is an abundant number, since it is smaller than the sum of its proper divisors (22384616).

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

13802800 is a wasteful number, since it uses less digits than its factorization.

13802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 13802800 is about 3715.2119724183. The cubic root of 13802800 is about 239.8772520461.

The spelling of 13802800 in words is "thirteen million, eight hundred two thousand, eight hundred".