756240 has 80 divisors (see below), whose sum is σ = 2464128. Its totient is φ = 191488.

The previous prime is 756227. The next prime is 756247. The reversal of 756240 is 42657.

It is a happy number.

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 (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 756240.

It is not an unprimeable number, because it can be changed into a prime (756247) 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, 5452 + ... + 5588.

2⁷⁵⁶²⁴⁰ 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 756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232064).

756240 is an abundant number, since it is smaller than the sum of its proper divisors (1707888).

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

756240 is a wasteful number, since it uses less digits than its factorization.

756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 756240 is about 869.6206069316. The cubic root of 756240 is about 91.1073081013.

Adding to 756240 its reverse (42657), we get a palindrome (798897).

The spelling of 756240 in words is "seven hundred fifty-six thousand, two hundred forty".