757664 has 12 divisors (see below), whose sum is σ = 1491714. Its totient is φ = 378816.

The previous prime is 757661. The next prime is 757693. The reversal of 757664 is 466757.

757664 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 only one way, i.e., 672400 + 85264 = 820^2 + 292^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (757661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11807 + ... + 11870.

2⁷⁵⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

757664 is a deficient number, since it is larger than the sum of its proper divisors (734050).

757664 is a wasteful number, since it uses less digits than its factorization.

757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23687 (or 23679 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 757664 is about 870.4389697159. The cubic root of 757664 is about 91.1644572693.

The spelling of 757664 in words is "seven hundred fifty-seven thousand, six hundred sixty-four".