723890880 has 168 divisors, whose sum is σ = 2621127600. Its totient is φ = 182863872.

The previous prime is 723890879. The next prime is 723890887. The reversal of 723890880 is 88098327.

It is a super-2 number, since 2×723890880² = 1048036012294348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (723890887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48106 + ... + 61334.

It is an arithmetic number, because the mean of its divisors is an integer number (15601950).

Almost surely, 2^723890880 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 723890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310563800).

723890880 is an abundant number, since it is smaller than the sum of its proper divisors (1897236720).

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

723890880 is a wasteful number, since it uses less digits than its factorization.

723890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 723890880 is about 26905.2203113076. The cubic root of 723890880 is about 897.8925505073.

The spelling of 723890880 in words is "seven hundred twenty-three million, eight hundred ninety thousand, eight hundred eighty".