729331840 has 64 divisors (see below), whose sum is σ = 1819402560. Its totient is φ = 279043072.

The previous prime is 729331829. The next prime is 729331849. The reversal of 729331840 is 48133927.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 729331840.

It is not an unprimeable number, because it can be changed into a prime (729331849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10054 + ... + 39493.

It is an arithmetic number, because the mean of its divisors is an integer number (28428165).

Almost surely, 2^729331840 is an apocalyptic number.

It is an amenable number.

729331840 is an abundant number, since it is smaller than the sum of its proper divisors (1090070720).

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

729331840 is a wasteful number, since it uses less digits than its factorization.

729331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49589 (or 49577 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 729331840 is about 27006.1444860239. The cubic root of 729331840 is about 900.1365389554.

The spelling of 729331840 in words is "seven hundred twenty-nine million, three hundred thirty-one thousand, eight hundred forty".