255769680 has 80 divisors (see below), whose sum is σ = 795395520. Its totient is φ = 67989504.

The previous prime is 255769667. The next prime is 255769687. The reversal of 255769680 is 86967552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255769687) 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, 83211 + ... + 86229.

It is an arithmetic number, because the mean of its divisors is an integer number (9942444).

Almost surely, 2^255769680 is an apocalyptic number.

255769680 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 255769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397697760).

255769680 is an abundant number, since it is smaller than the sum of its proper divisors (539625840).

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

255769680 is a wasteful number, since it uses less digits than its factorization.

255769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 255769680 is about 15992.8008803962. The cubic root of 255769680 is about 634.7699416674.

The spelling of 255769680 in words is "two hundred fifty-five million, seven hundred sixty-nine thousand, six hundred eighty".