756126 has 48 divisors (see below), whose sum is σ = 1988064. Its totient is φ = 202752.

The previous prime is 756101. The next prime is 756127. The reversal of 756126 is 621657.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 756126.

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 756126.

It is not an unprimeable number, because it can be changed into a prime (756127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966 + ... + 2318.

It is an arithmetic number, because the mean of its divisors is an integer number (41418).

2⁷⁵⁶¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994032).

756126 is an abundant number, since it is smaller than the sum of its proper divisors (1231938).

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

756126 is a wasteful number, since it uses less digits than its factorization.

756126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 756126 is about 869.5550586363. Note that the first 3 decimals coincide. The cubic root of 756126 is about 91.1027298568.

The spelling of 756126 in words is "seven hundred fifty-six thousand, one hundred twenty-six".