753720960 has 128 divisors (see below), whose sum is σ = 2410545600. Its totient is φ = 200318976.

The previous prime is 753720923. The next prime is 753720977. The reversal of 753720960 is 69027357.

753720960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877011 + ... + 877869.

Almost surely, 2^753720960 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 753720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205272800).

753720960 is an abundant number, since it is smaller than the sum of its proper divisors (1656824640).

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

753720960 is a wasteful number, since it uses less digits than its factorization.

753720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 753720960 is about 27453.9789465935. The cubic root of 753720960 is about 910.0603590765.

The spelling of 753720960 in words is "seven hundred fifty-three million, seven hundred twenty thousand, nine hundred sixty".