756964 has 12 divisors (see below), whose sum is σ = 1426684. Its totient is φ = 349344.

The previous prime is 756961. The next prime is 756967. The reversal of 756964 is 469657.

756964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (756961) and next prime (756967).

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 640000 = 342^2 + 800^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (756961) 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, 7227 + ... + 7330.

2⁷⁵⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

756964 is a deficient number, since it is larger than the sum of its proper divisors (669720).

756964 is a wasteful number, since it uses less digits than its factorization.

756964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14574 (or 14572 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 756964 is about 870.0367808317. The cubic root of 756964 is about 91.1363732360.

It can be divided in two parts, 7569 and 64, that multiplied together give a square (484416 = 696²).

The spelling of 756964 in words is "seven hundred fifty-six thousand, nine hundred sixty-four".