756721056 has 384 divisors, whose sum is σ = 2655313920. Its totient is φ = 183140352.

The previous prime is 756721033. The next prime is 756721057. The reversal of 756721056 is 650127657.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (756721057) 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 63 ways as a sum of consecutive naturals, for example, 7801200 + ... + 7801296.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^756721056 is an apocalyptic number.

756721056 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 756721056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327656960).

756721056 is an abundant number, since it is smaller than the sum of its proper divisors (1898592864).

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

756721056 is a wasteful number, since it uses less digits than its factorization.

756721056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 756721056 is about 27508.5633212642. The cubic root of 756721056 is about 911.2662226409.

The spelling of 756721056 in words is "seven hundred fifty-six million, seven hundred twenty-one thousand, fifty-six".