255712080 has 160 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 61378560.

The previous prime is 255712073. The next prime is 255712097. The reversal of 255712080 is 80217552.

It is a Cunningham number, because it is equal to 15991²-1.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126921 + ... + 128919.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^255712080 is an apocalyptic number.

255712080 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 255712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

255712080 is an abundant number, since it is smaller than the sum of its proper divisors (619231920).

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

255712080 is a wasteful number, since it uses less digits than its factorization.

255712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 255712080 is about 15990.9999687324. Note that the first 4 decimals coincide. The cubic root of 255712080 is about 634.7222874737.

The spelling of 255712080 in words is "two hundred fifty-five million, seven hundred twelve thousand, eighty".