720960 has 56 divisors (see below), whose sum is σ = 2292096. Its totient is φ = 192000.

The previous prime is 720947. The next prime is 720961. The reversal of 720960 is 69027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 720960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 1335.

2⁷²⁰⁹⁶⁰ 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 720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146048).

720960 is an abundant number, since it is smaller than the sum of its proper divisors (1571136).

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

720960 is a wasteful number, since it uses less digits than its factorization.

720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 720960 is about 849.0936344126. The cubic root of 720960 is about 89.6679119488.

Adding to 720960 its reverse (69027), we get a palindrome (789987).

The spelling of 720960 in words is "seven hundred twenty thousand, nine hundred sixty".