755680 has 24 divisors (see below), whose sum is σ = 1785672. Its totient is φ = 302208.

The previous prime is 755663. The next prime is 755681. The reversal of 755680 is 86557.

755680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755681) by changing a digit.

755680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2202 + ... + 2521.

It is an arithmetic number, because the mean of its divisors is an integer number (74403).

2⁷⁵⁵⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

755680 is an abundant number, since it is smaller than the sum of its proper divisors (1029992).

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

755680 is a wasteful number, since it uses less digits than its factorization.

755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 755680 is about 869.2985678120. The cubic root of 755680 is about 91.0848140557.

The spelling of 755680 in words is "seven hundred fifty-five thousand, six hundred eighty".