755520 has 56 divisors (see below), whose sum is σ = 2401824. Its totient is φ = 201216.

The previous prime is 755509. The next prime is 755539. The reversal of 755520 is 25557.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is an unprimeable number.

755520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 1353.

2⁷⁵⁵⁵²⁰ 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 755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200912).

755520 is an abundant number, since it is smaller than the sum of its proper divisors (1646304).

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

755520 is a wasteful number, since it uses less digits than its factorization.

755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 755520 is about 869.2065347200. The cubic root of 755520 is about 91.0783851444.

It can be divided in two parts, 755 and 520, that added together give a triangular number (1275 = T₅₀).

The spelling of 755520 in words is "seven hundred fifty-five thousand, five hundred twenty".