756608640 has 128 divisors (see below), whose sum is σ = 2421316800. Its totient is φ = 200957952.

The previous prime is 756608639. The next prime is 756608651. The reversal of 756608640 is 46806657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 756608592 and 756608601.

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 15 ways as a sum of consecutive naturals, for example, 600331 + ... + 601589.

Almost surely, 2^756608640 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 756608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210658400).

756608640 is an abundant number, since it is smaller than the sum of its proper divisors (1664708160).

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

756608640 is a wasteful number, since it uses less digits than its factorization.

756608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 756608640 is about 27506.5199543672. The cubic root of 756608640 is about 911.2210954984.

The spelling of 756608640 in words is "seven hundred fifty-six million, six hundred eight thousand, six hundred forty".