724346880 has 384 divisors, whose sum is σ = 2618179200. Its totient is φ = 169869312.

The previous prime is 724346873. The next prime is 724346933. The reversal of 724346880 is 88643427.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9922524 + ... + 9922596.

It is an arithmetic number, because the mean of its divisors is an integer number (6818175).

Almost surely, 2^724346880 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 724346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309089600).

724346880 is an abundant number, since it is smaller than the sum of its proper divisors (1893832320).

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

724346880 is a wasteful number, since it uses less digits than its factorization.

724346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 724346880 is about 26913.6931690915. The cubic root of 724346880 is about 898.0810471772.

The spelling of 724346880 in words is "seven hundred twenty-four million, three hundred forty-six thousand, eight hundred eighty".