729590976 has 168 divisors, whose sum is σ = 2221162944. Its totient is φ = 237323520.

The previous prime is 729590963. The next prime is 729591001. The reversal of 729590976 is 679095927.

729590976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668191 + ... + 669281.

It is an arithmetic number, because the mean of its divisors is an integer number (13221208).

Almost surely, 2^729590976 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 729590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110581472).

729590976 is an abundant number, since it is smaller than the sum of its proper divisors (1491571968).

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

729590976 is a wasteful number, since it uses less digits than its factorization.

729590976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 729590976 is about 27010.9417829146. The cubic root of 729590976 is about 900.2431343115.

The spelling of 729590976 in words is "seven hundred twenty-nine million, five hundred ninety thousand, nine hundred seventy-six".