756880 has 20 divisors (see below), whose sum is σ = 1759932. Its totient is φ = 302720.

The previous prime is 756869. The next prime is 756881. The reversal of 756880 is 88657.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 331776 = 652^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (756881) 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, 4651 + ... + 4810.

2⁷⁵⁶⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

756880 is an abundant number, since it is smaller than the sum of its proper divisors (1003052).

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

756880 is a wasteful number, since it uses less digits than its factorization.

756880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 756880 is about 869.9885056712. The cubic root of 756880 is about 91.1330019887.

The spelling of 756880 in words is "seven hundred fifty-six thousand, eight hundred eighty".