76085760 has 80 divisors (see below), whose sum is σ = 243261216. Its totient is φ = 20287488.

The previous prime is 76085743. The next prime is 76085767. The reversal of 76085760 is 6758067.

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

It is not an unprimeable number, because it can be changed into a prime (76085767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2727 + ... + 12633.

Almost surely, 2^76085760 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 76085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121630608).

76085760 is an abundant number, since it is smaller than the sum of its proper divisors (167175456).

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

76085760 is an equidigital number, since it uses as much as digits as its factorization.

76085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 76085760 is about 8722.7151736142. The cubic root of 76085760 is about 423.7416249509.

The spelling of 76085760 in words is "seventy-six million, eighty-five thousand, seven hundred sixty".