756930048 has 240 divisors, whose sum is σ = 2393083440. Its totient is φ = 211943424.

The previous prime is 756930001. The next prime is 756930059. The reversal of 756930048 is 840039657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 756929991 and 756930009.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 6698440 + ... + 6698552.

It is an arithmetic number, because the mean of its divisors is an integer number (9971181).

Almost surely, 2^756930048 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 756930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196541720).

756930048 is an abundant number, since it is smaller than the sum of its proper divisors (1636153392).

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

756930048 is a wasteful number, since it uses less digits than its factorization.

756930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 756930048 is about 27512.3617306839. The cubic root of 756930048 is about 911.3501064001.

The spelling of 756930048 in words is "seven hundred fifty-six million, nine hundred thirty thousand, forty-eight".