205800 has 96 divisors (see below), whose sum is σ = 744000. Its totient is φ = 47040.

The previous prime is 205783. The next prime is 205817. The reversal of 205800 is 8502.

205800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205783) and next prime (205817).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 205800.

It is an unprimeable number.

205800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29397 + ... + 29403.

It is an arithmetic number, because the mean of its divisors is an integer number (7750).

2²⁰⁵⁸⁰⁰ is an apocalyptic number.

205800 is a gapful number since it is divisible by the number (20) 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 205800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372000).

205800 is an abundant number, since it is smaller than the sum of its proper divisors (538200).

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

205800 is a wasteful number, since it uses less digits than its factorization.

205800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 205800 is about 453.6518488886. The cubic root of 205800 is about 59.0402865711.

The spelling of 205800 in words is "two hundred five thousand, eight hundred".