755920 has 40 divisors (see below), whose sum is σ = 1919520. Its totient is φ = 274560.

The previous prime is 755903. The next prime is 755959. The reversal of 755920 is 29557.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (47988).

2⁷⁵⁵⁹²⁰ 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 755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959760).

755920 is an abundant number, since it is smaller than the sum of its proper divisors (1163600).

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

755920 is a wasteful number, since it uses less digits than its factorization.

755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 755920 is about 869.4365991836. The cubic root of 755920 is about 91.0944557213.

It can be divided in two parts, 75 and 5920, that added together give a palindrome (5995).

The spelling of 755920 in words is "seven hundred fifty-five thousand, nine hundred twenty".