720888 has 48 divisors (see below), whose sum is σ = 2099880. Its totient is φ = 205632.

The previous prime is 720887. The next prime is 720899. The reversal of 720888 is 888027.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

720888 is a modest number, since divided by 888 gives 720 as remainder.

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 720888.

It is not an unprimeable number, because it can be changed into a prime (720887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870 + ... + 1482.

2⁷²⁰⁸⁸⁸ 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 720888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049940).

720888 is an abundant number, since it is smaller than the sum of its proper divisors (1378992).

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

720888 is a wasteful number, since it uses less digits than its factorization.

720888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 720888 is about 849.0512352032. The cubic root of 720888 is about 89.6649268990.

The spelling of 720888 in words is "seven hundred twenty thousand, eight hundred eighty-eight".