755904 has 56 divisors (see below), whose sum is σ = 2080768. Its totient is φ = 241920.

The previous prime is 755903. The next prime is 755959. The reversal of 755904 is 409557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5889 + ... + 6015.

2⁷⁵⁵⁹⁰⁴ 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 755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040384).

755904 is an abundant number, since it is smaller than the sum of its proper divisors (1324864).

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

755904 is a wasteful number, since it uses less digits than its factorization.

755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 755904 is about 869.4273977740. The cubic root of 755904 is about 91.0938130070.

The spelling of 755904 in words is "seven hundred fifty-five thousand, nine hundred four".