14800 has 30 divisors (see below), whose sum is σ = 36518. Its totient is φ = 5760.

The previous prime is 14797. The next prime is 14813. The reversal of 14800 is 841.

14800 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 11664 = 56^2 + 108^2 .

14800 is strictly pandigital in base 6.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 382 + ... + 418.

2¹⁴⁸⁰⁰ is an apocalyptic number.

14800 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 14800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18259).

14800 is an abundant number, since it is smaller than the sum of its proper divisors (21718).

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

14800 is a wasteful number, since it uses less digits than its factorization.

14800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14800 is about 121.6552506060. The cubic root of 14800 is about 24.5520205238.

The spelling of 14800 in words is "fourteen thousand, eight hundred".