755280 has 60 divisors (see below), whose sum is σ = 2538900. Its totient is φ = 201216.

The previous prime is 755273. The next prime is 755309. The reversal of 755280 is 82557.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 254016 = 708^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁷⁵⁵²⁸⁰ 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 755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450).

755280 is an abundant number, since it is smaller than the sum of its proper divisors (1783620).

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

755280 is a wasteful number, since it uses less digits than its factorization.

755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 755280 is about 869.0684668080. The cubic root of 755280 is about 91.0687400755.

It can be divided in two parts, 755 and 280, that added together give a triangular number (1035 = T₄₅).

The spelling of 755280 in words is "seven hundred fifty-five thousand, two hundred eighty".