756475488 has 72 divisors (see below), whose sum is σ = 2154782448. Its totient is φ = 251741952.

The previous prime is 756475487. The next prime is 756475523. The reversal of 756475488 is 884574657.

756475488 is a `hidden beast` number, since 7 + 56 + 47 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756475483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207570 + ... + 211182.

It is an arithmetic number, because the mean of its divisors is an integer number (29927534).

Almost surely, 2^756475488 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 756475488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077391224).

756475488 is an abundant number, since it is smaller than the sum of its proper divisors (1398306960).

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

756475488 is a wasteful number, since it uses less digits than its factorization.

756475488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4345 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 756475488 is about 27504.0994762599. The cubic root of 756475488 is about 911.1676385225.

The spelling of 756475488 in words is "seven hundred fifty-six million, four hundred seventy-five thousand, four hundred eighty-eight".