730848320 has 56 divisors (see below), whose sum is σ = 1768909848. Its totient is φ = 287539200.

The previous prime is 730848311. The next prime is 730848353. The reversal of 730848320 is 23848037.

730848320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 729864256 = 992^2 + 27016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800 + ... + 38240.

Almost surely, 2^730848320 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 730848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884454924).

730848320 is an abundant number, since it is smaller than the sum of its proper divisors (1038061528).

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

730848320 is a wasteful number, since it uses less digits than its factorization.

730848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37519 (or 37509 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 730848320 is about 27034.2064799394. The cubic root of 730848320 is about 900.7599835837.

The spelling of 730848320 in words is "seven hundred thirty million, eight hundred forty-eight thousand, three hundred twenty".