756680 has 16 divisors (see below), whose sum is σ = 1702620. Its totient is φ = 302656.

The previous prime is 756673. The next prime is 756683. The reversal of 756680 is 86657.

756680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 749956 + 6724 = 866^2 + 82^2 .

It is not an unprimeable number, because it can be changed into a prime (756683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9419 + ... + 9498.

2⁷⁵⁶⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

756680 is an abundant number, since it is smaller than the sum of its proper divisors (945940).

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

756680 is a wasteful number, since it uses less digits than its factorization.

756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18928 (or 18924 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 756680 is about 869.8735540295. The cubic root of 756680 is about 91.1249742053.

The spelling of 756680 in words is "seven hundred fifty-six thousand, six hundred eighty".