756040 has 32 divisors (see below), whose sum is σ = 1746360. Its totient is φ = 294400.

The previous prime is 756023. The next prime is 756043. The reversal of 756040 is 40657.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 417316 = 582^2 + 646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410 + ... + 1870.

2⁷⁵⁶⁰⁴⁰ 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 756040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873180).

756040 is an abundant number, since it is smaller than the sum of its proper divisors (990320).

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

756040 is a wasteful number, since it uses less digits than its factorization.

756040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 756040 is about 869.5056066524. The cubic root of 756040 is about 91.0992757888.

Adding to 756040 its reverse (40657), we get a palindrome (796697).

The spelling of 756040 in words is "seven hundred fifty-six thousand, forty".