76585256 has 48 divisors (see below), whose sum is σ = 160549620. Its totient is φ = 34214400.

The previous prime is 76585211. The next prime is 76585261. The reversal of 76585256 is 65258567.

It can be written as a sum of positive squares in 2 ways, for example, as 76282756 + 302500 = 8734^2 + 550^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58400 + ... + 59696.

Almost surely, 2^76585256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76585256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80274810).

76585256 is an abundant number, since it is smaller than the sum of its proper divisors (83964364).

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

76585256 is a wasteful number, since it uses less digits than its factorization.

76585256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1371 counting only the distinct ones).

The product of its digits is 504000, while the sum is 44.

The square root of 76585256 is about 8751.3002462491. The cubic root of 76585256 is about 424.6668780622. Note that the first 3 decimals are identical.

The spelling of 76585256 in words is "seventy-six million, five hundred eighty-five thousand, two hundred fifty-six".