756834760 has 64 divisors (see below), whose sum is σ = 1863414720. Its totient is φ = 274364160.

The previous prime is 756834751. The next prime is 756834763. The reversal of 756834760 is 67438657.

It is a self number, because there is not a number n which added to its sum of digits gives 756834760.

It is not an unprimeable number, because it can be changed into a prime (756834763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150202 + ... + 155158.

It is an arithmetic number, because the mean of its divisors is an integer number (29115855).

Almost surely, 2^756834760 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 756834760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931707360).

756834760 is an abundant number, since it is smaller than the sum of its proper divisors (1106579960).

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

756834760 is a wasteful number, since it uses less digits than its factorization.

756834760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 756834760 is about 27510.6299455320. The cubic root of 756834760 is about 911.3118622790.

The spelling of 756834760 in words is "seven hundred fifty-six million, eight hundred thirty-four thousand, seven hundred sixty".