756056448 has 384 divisors, whose sum is σ = 2663668800. Its totient is φ = 201277440.

The previous prime is 756056447. The next prime is 756056449. The reversal of 756056448 is 844650657.

It is an interprime number because it is at equal distance from previous prime (756056447) and next prime (756056449).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756056447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12394338 + ... + 12394398.

Almost surely, 2^756056448 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 756056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331834400).

756056448 is an abundant number, since it is smaller than the sum of its proper divisors (1907612352).

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

756056448 is a wasteful number, since it uses less digits than its factorization.

756056448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 756056448 is about 27496.4806475301. The cubic root of 756056448 is about 910.9993641961. Note that the first 3 decimals are identical.

The spelling of 756056448 in words is "seven hundred fifty-six million, fifty-six thousand, four hundred forty-eight".