752960 has 56 divisors (see below), whose sum is σ = 1941576. Its totient is φ = 276480.

The previous prime is 752933. The next prime is 752977. The reversal of 752960 is 69257.

752960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 719104 = 184^2 + 848^2 .

It is a congruent number.

It is an unprimeable number.

752960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4070 + ... + 4250.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2⁷⁵²⁹⁶⁰ 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 752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970788).

752960 is an abundant number, since it is smaller than the sum of its proper divisors (1188616).

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

752960 is a wasteful number, since it uses less digits than its factorization.

752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 752960 is about 867.7326777297. The cubic root of 752960 is about 90.9753988967.

The spelling of 752960 in words is "seven hundred fifty-two thousand, nine hundred sixty".