753319056 has 160 divisors (see below), whose sum is σ = 2285409280. Its totient is φ = 209392128.

The previous prime is 753319043. The next prime is 753319093. The reversal of 753319056 is 650913357.

753319056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×753319056² = 1134979200265462272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453655 + ... + 2453961.

It is an arithmetic number, because the mean of its divisors is an integer number (14283808).

Almost surely, 2^753319056 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 753319056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142704640).

753319056 is an abundant number, since it is smaller than the sum of its proper divisors (1532090224).

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

753319056 is a wasteful number, since it uses less digits than its factorization.

753319056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 753319056 is about 27446.6583758388. The cubic root of 753319056 is about 909.8985742129.

The spelling of 753319056 in words is "seven hundred fifty-three million, three hundred nineteen thousand, fifty-six".