729806 has 24 divisors (see below), whose sum is σ = 1391256. Its totient is φ = 283920.

The previous prime is 729791. The next prime is 729821. The reversal of 729806 is 608927.

729806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (729791) and next prime (729821).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729806.

It is an unprimeable number.

729806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (57969).

2⁷²⁹⁸⁰⁶ is an apocalyptic number.

729806 is a deficient number, since it is larger than the sum of its proper divisors (661450).

729806 is a wasteful number, since it uses less digits than its factorization.

729806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 729806 is about 854.2868370752. The cubic root of 729806 is about 90.0331565077.

The spelling of 729806 in words is "seven hundred twenty-nine thousand, eight hundred six".