756794016 has 360 divisors, whose sum is σ = 2595479040. Its totient is φ = 215550720.

The previous prime is 756793991. The next prime is 756794039. The reversal of 756794016 is 610497657.

756794016 = 99² + 100² + ... + 1314².

It is a happy number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5958945 + ... + 5959071.

It is an arithmetic number, because the mean of its divisors is an integer number (7209664).

Almost surely, 2^756794016 is an apocalyptic number.

756794016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297739520).

756794016 is an abundant number, since it is smaller than the sum of its proper divisors (1838685024).

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

756794016 is a wasteful number, since it uses less digits than its factorization.

756794016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 756794016 is about 27509.8894218061. The cubic root of 756794016 is about 911.2955085742.

The spelling of 756794016 in words is "seven hundred fifty-six million, seven hundred ninety-four thousand, sixteen".