752808960 has 396 divisors, whose sum is σ = 2853870084. Its totient is φ = 182845440.

The previous prime is 752808887. The next prime is 752808961. The reversal of 752808960 is 69808257.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 318836736 = 20832^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752808961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24284145 + ... + 24284175.

Almost surely, 2^752808960 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 752808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426935042).

752808960 is an abundant number, since it is smaller than the sum of its proper divisors (2101061124).

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

752808960 is a wasteful number, since it uses less digits than its factorization.

752808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 752808960 is about 27437.3643049036. The cubic root of 752808960 is about 909.6931542034.

The spelling of 752808960 in words is "seven hundred fifty-two million, eight hundred eight thousand, nine hundred sixty".