75680 has 48 divisors (see below), whose sum is σ = 199584. Its totient is φ = 26880.

The previous prime is 75679. The next prime is 75683. The reversal of 75680 is 8657.

It is not an unprimeable number, because it can be changed into a prime (75683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1739 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2⁷⁵⁶⁸⁰ 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 75680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

75680 is an abundant number, since it is smaller than the sum of its proper divisors (123904).

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

75680 is a wasteful number, since it uses less digits than its factorization.

75680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75680 is about 275.0999818248. The cubic root of 75680 is about 42.2987020524.

The spelling of 75680 in words is "seventy-five thousand, six hundred eighty".