720768 has 32 divisors (see below), whose sum is σ = 1915560. Its totient is φ = 240128.

The previous prime is 720767. The next prime is 720773. The reversal of 720768 is 867027.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×720768³ = 1123331004218474496, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720768.

It is not an unprimeable number, because it can be changed into a prime (720763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 555 + ... + 1322.

2⁷²⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

720768 is an abundant number, since it is smaller than the sum of its proper divisors (1194792).

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

720768 is a wasteful number, since it uses less digits than its factorization.

720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 720768 is about 848.9805651486. The cubic root of 720768 is about 89.6599513742.

The spelling of 720768 in words is "seven hundred twenty thousand, seven hundred sixty-eight".