76085828 has 54 divisors (see below), whose sum is σ = 167793066. Its totient is φ = 30086784.

The previous prime is 76085813. The next prime is 76085831. The reversal of 76085828 is 82858067.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 76073284 = 112^2 + 8722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31976 + ... + 34272.

It is an arithmetic number, because the mean of its divisors is an integer number (3107279).

Almost surely, 2^76085828 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 76085828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896533).

76085828 is an abundant number, since it is smaller than the sum of its proper divisors (91707238).

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

76085828 is a wasteful number, since it uses less digits than its factorization.

76085828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 76085828 is about 8722.7190714822. The cubic root of 76085828 is about 423.7417511875.

The spelling of 76085828 in words is "seventy-six million, eighty-five thousand, eight hundred twenty-eight".