255780 has 108 divisors (see below), whose sum is σ = 933660. Its totient is φ = 56448.

The previous prime is 255767. The next prime is 255803. The reversal of 255780 is 87552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 142884 = 336^2 + 378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8806 + ... + 8834.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2²⁵⁵⁷⁸⁰ is an apocalyptic number.

255780 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 255780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

255780 is an abundant number, since it is smaller than the sum of its proper divisors (677880).

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

255780 is a wasteful number, since it uses less digits than its factorization.

255780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 255780 is about 505.7469723093. The cubic root of 255780 is about 63.4778478955.

It can be divided in two parts, 255 and 780, that added together give a triangular number (1035 = T₄₅).

The spelling of 255780 in words is "two hundred fifty-five thousand, seven hundred eighty".