750960 has 120 divisors (see below), whose sum is σ = 2901600. Its totient is φ = 170496.

The previous prime is 750943. The next prime is 750961. The reversal of 750960 is 69057.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750961) by changing a digit.

750960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁷⁵⁰⁹⁶⁰ is an apocalyptic number.

750960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800).

750960 is an abundant number, since it is smaller than the sum of its proper divisors (2150640).

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

750960 is a wasteful number, since it uses less digits than its factorization.

750960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 750960 is about 866.5794827943. The cubic root of 750960 is about 90.8947783528.

It can be divided in two parts, 7509 and 60, that added together give a square (7569 = 87²).

The spelling of 750960 in words is "seven hundred fifty thousand, nine hundred sixty".