76085688 has 64 divisors (see below), whose sum is σ = 219548160. Its totient is φ = 21522816.

The previous prime is 76085683. The next prime is 76085707. The reversal of 76085688 is 88658067.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76085683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15106 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (3430440).

Almost surely, 2^76085688 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 76085688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109774080).

76085688 is an abundant number, since it is smaller than the sum of its proper divisors (143462472).

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

76085688 is a wasteful number, since it uses less digits than its factorization.

76085688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 76085688 is about 8722.7110464580. The cubic root of 76085688 is about 423.7414912885.

The spelling of 76085688 in words is "seventy-six million, eighty-five thousand, six hundred eighty-eight".