729883440 has 640 divisors, whose sum is σ = 3149798400. Its totient is φ = 152616960.

The previous prime is 729883421. The next prime is 729883447. The reversal of 729883440 is 44388927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (729883447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250891 + ... + 5251029.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^729883440 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 729883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

729883440 is an abundant number, since it is smaller than the sum of its proper divisors (2419914960).

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

729883440 is a wasteful number, since it uses less digits than its factorization.

729883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 729883440 is about 27016.3550465269. The cubic root of 729883440 is about 900.3634087959.

The spelling of 729883440 in words is "seven hundred twenty-nine million, eight hundred eighty-three thousand, four hundred forty".