720384 has 80 divisors (see below), whose sum is σ = 2226048. Its totient is φ = 202752.

The previous prime is 720373. The next prime is 720397. The reversal of 720384 is 483027.

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

It is a congruent number.

It is an unprimeable number.

720384 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, 10719 + ... + 10785.

2⁷²⁰³⁸⁴ 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 720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113024).

720384 is an abundant number, since it is smaller than the sum of its proper divisors (1505664).

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

720384 is an equidigital number, since it uses as much as digits as its factorization.

720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 720384 is about 848.7543814320. The cubic root of 720384 is about 89.6440259828.

The spelling of 720384 in words is "seven hundred twenty thousand, three hundred eighty-four".