720480 has 96 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 179712.

The previous prime is 720439. The next prime is 720481. The reversal of 720480 is 84027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720481) by changing a digit.

720480 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 15 ways as a sum of consecutive naturals, for example, 9081 + ... + 9159.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁷²⁰⁴⁸⁰ 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 720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

720480 is an abundant number, since it is smaller than the sum of its proper divisors (1698720).

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

720480 is a wasteful number, since it uses less digits than its factorization.

720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 720480 is about 848.8109330116. The cubic root of 720480 is about 89.6480078611.

The spelling of 720480 in words is "seven hundred twenty thousand, four hundred eighty".