756226128 has 160 divisors (see below), whose sum is σ = 2334136320. Its totient is φ = 206461440.

The previous prime is 756226123. The next prime is 756226153. The reversal of 756226128 is 821622657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756226123) 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 31 ways as a sum of consecutive naturals, for example, 732973 + ... + 734003.

It is an arithmetic number, because the mean of its divisors is an integer number (14588352).

Almost surely, 2^756226128 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 756226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167068160).

756226128 is an abundant number, since it is smaller than the sum of its proper divisors (1577910192).

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

756226128 is a wasteful number, since it uses less digits than its factorization.

756226128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 756226128 is about 27499.5659602111. The cubic root of 756226128 is about 911.0675102585.

The spelling of 756226128 in words is "seven hundred fifty-six million, two hundred twenty-six thousand, one hundred twenty-eight".