755664 has 80 divisors (see below), whose sum is σ = 2416512. Its totient is φ = 198144.

The previous prime is 755663. The next prime is 755681. The reversal of 755664 is 466557.

755664 = 77² + 78² + ... + 139².

755664 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 (33) 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 (755663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4282 + ... + 4454.

2⁷⁵⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208256).

755664 is an abundant number, since it is smaller than the sum of its proper divisors (1660848).

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

755664 is a wasteful number, since it uses less digits than its factorization.

755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 755664 is about 869.2893649413. The cubic root of 755664 is about 91.0841712054.

Adding to 755664 its reverse (466557), we get a palindrome (1222221).

The spelling of 755664 in words is "seven hundred fifty-five thousand, six hundred sixty-four".