258765780 has 192 divisors, whose sum is σ = 904071168. Its totient is φ = 53844480.

The previous prime is 258765757. The next prime is 258765781. The reversal of 258765780 is 87567852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258765781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452895 + ... + 453465.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2^258765780 is an apocalyptic number.

258765780 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 258765780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035584).

258765780 is an abundant number, since it is smaller than the sum of its proper divisors (645305388).

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

258765780 is a wasteful number, since it uses less digits than its factorization.

258765780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 258765780 is about 16086.1984321965. The cubic root of 258765780 is about 637.2389026901.

The spelling of 258765780 in words is "two hundred fifty-eight million, seven hundred sixty-five thousand, seven hundred eighty".