723914880 has 384 divisors, whose sum is σ = 2634145920. Its totient is φ = 168689664.

The previous prime is 723914869. The next prime is 723914881. The reversal of 723914880 is 88419327.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (723914881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7462992 + ... + 7463088.

It is an arithmetic number, because the mean of its divisors is an integer number (6859755).

Almost surely, 2^723914880 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 723914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317072960).

723914880 is an abundant number, since it is smaller than the sum of its proper divisors (1910231040).

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

723914880 is a wasteful number, since it uses less digits than its factorization.

723914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 723914880 is about 26905.6663177108. Note that the first 3 decimals coincide. The cubic root of 723914880 is about 897.9024733579.

The spelling of 723914880 in words is "seven hundred twenty-three million, nine hundred fourteen thousand, eight hundred eighty".