729242880 has 144 divisors (see below), whose sum is σ = 2466241344. Its totient is φ = 183009280.

The previous prime is 729242827. The next prime is 729242881. The reversal of 729242880 is 88242927.

729242880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729242881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59695 + ... + 70865.

It is an arithmetic number, because the mean of its divisors is an integer number (17126676).

Almost surely, 2^729242880 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 729242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233120672).

729242880 is an abundant number, since it is smaller than the sum of its proper divisors (1736998464).

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

729242880 is a wasteful number, since it uses less digits than its factorization.

729242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 729242880 is about 27004.4974032105. The cubic root of 729242880 is about 900.0999395192.

The spelling of 729242880 in words is "seven hundred twenty-nine million, two hundred forty-two thousand, eight hundred eighty".