729382080 has 224 divisors, whose sum is σ = 2662732800. Its totient is φ = 165703680.

The previous prime is 729382021. The next prime is 729382097. The reversal of 729382080 is 80283927.

It is a tau number, because it is divible by the number of its divisors (224).

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, 2089746 + ... + 2090094.

It is an arithmetic number, because the mean of its divisors is an integer number (11887200).

Almost surely, 2^729382080 is an apocalyptic number.

729382080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331366400).

729382080 is an abundant number, since it is smaller than the sum of its proper divisors (1933350720).

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

729382080 is a wasteful number, since it uses less digits than its factorization.

729382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 729382080 is about 27007.0746286968. The cubic root of 729382080 is about 900.1572071062.

The spelling of 729382080 in words is "seven hundred twenty-nine million, three hundred eighty-two thousand, eighty".