11800 has 24 divisors (see below), whose sum is σ = 27900. Its totient is φ = 4640.

The previous prime is 11789. The next prime is 11801. The reversal of 11800 is 811.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171 + ... + 229.

2¹¹⁸⁰⁰ is an apocalyptic number.

11800 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 11800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950).

11800 is an abundant number, since it is smaller than the sum of its proper divisors (16100).

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

11800 is a wasteful number, since it uses less digits than its factorization.

11800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11800 is about 108.6278049120. The cubic root of 11800 is about 22.7663811496.

The spelling of 11800 in words is "eleven thousand, eight hundred".