18800 has 30 divisors (see below), whose sum is σ = 46128. Its totient is φ = 7360.

The previous prime is 18797. The next prime is 18803. The reversal of 18800 is 881.

It is a happy number.

18800 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (18797) and next prime (18803).

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18803) 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, 377 + ... + 423.

2¹⁸⁸⁰⁰ is an apocalyptic number.

18800 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 18800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064).

18800 is an abundant number, since it is smaller than the sum of its proper divisors (27328).

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

18800 is a wasteful number, since it uses less digits than its factorization.

18800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 18800 is about 137.1130920080. The cubic root of 18800 is about 26.5900579047.

Multiplying 18800 by its sum of digits (17), we get a triangular number (319600 = T₇₉₉).

It can be divided in two parts, 18 and 800, that multiplied together give a square (14400 = 120²).

The spelling of 18800 in words is "eighteen thousand, eight hundred".