13800080 has 80 divisors (see below), whose sum is σ = 38628480. Its totient is φ = 4478976.

The previous prime is 13800077. The next prime is 13800097. The reversal of 13800080 is 8000831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9992 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (482856).

Almost surely, 2^13800080 is an apocalyptic number.

13800080 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 13800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19314240).

13800080 is an abundant number, since it is smaller than the sum of its proper divisors (24828400).

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

13800080 is a wasteful number, since it uses less digits than its factorization.

13800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13800080 is about 3714.8458918238. The cubic root of 13800080 is about 239.8614941567.

The spelling of 13800080 in words is "thirteen million, eight hundred thousand, eighty".