258780 has 48 divisors (see below), whose sum is σ = 766080. Its totient is φ = 65088.

The previous prime is 258779. The next prime is 258787. The reversal of 258780 is 87852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2¹⁷ + 5⁷ + 7⁵ + 8 + 8⁵ + 0 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258780.

It is not an unprimeable number, because it can be changed into a prime (258787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2²⁵⁸⁷⁸⁰ is an apocalyptic number.

258780 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 258780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

258780 is an abundant number, since it is smaller than the sum of its proper divisors (507300).

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

258780 is a wasteful number, since it uses less digits than its factorization.

258780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 258780 is about 508.7042362709. The cubic root of 258780 is about 63.7250575242.

The spelling of 258780 in words is "two hundred fifty-eight thousand, seven hundred eighty".