755760 has 80 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 194304.

The previous prime is 755759. The next prime is 755767. The reversal of 755760 is 67557.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755760.

It is not an unprimeable number, because it can be changed into a prime (755767) 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 15 ways as a sum of consecutive naturals, for example, 11247 + ... + 11313.

2⁷⁵⁵⁷⁶⁰ 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 755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208).

755760 is an abundant number, since it is smaller than the sum of its proper divisors (1672656).

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

755760 is a wasteful number, since it uses less digits than its factorization.

755760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 755760 is about 869.3445807043. The cubic root of 755760 is about 91.0880281710.

The spelling of 755760 in words is "seven hundred fifty-five thousand, seven hundred sixty".