729931680 has 144 divisors (see below), whose sum is σ = 2599309440. Its totient is φ = 186177024.

The previous prime is 729931649. The next prime is 729931681. The reversal of 729931680 is 86139927.

729931680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729931681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22101 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (18050760).

Almost surely, 2^729931680 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 729931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299654720).

729931680 is an abundant number, since it is smaller than the sum of its proper divisors (1869377760).

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

729931680 is a wasteful number, since it uses less digits than its factorization.

729931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 729931680 is about 27017.2478243066. The cubic root of 729931680 is about 900.3832441886.

The spelling of 729931680 in words is "seven hundred twenty-nine million, nine hundred thirty-one thousand, six hundred eighty".