205080 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 54656.

The previous prime is 205069. The next prime is 205081. The reversal of 205080 is 80502.

205080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735 + ... + 974.

2²⁰⁵⁰⁸⁰ is an apocalyptic number.

205080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205080 is an abundant number, since it is smaller than the sum of its proper divisors (410520).

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

205080 is a wasteful number, since it uses less digits than its factorization.

205080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1719 counting only the distinct ones).

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

The square root of 205080 is about 452.8575935104. The cubic root of 205080 is about 58.9713544751.

Adding to 205080 its reverse (80502), we get a palindrome (285582).

The spelling of 205080 in words is "two hundred five thousand, eighty".