729105804 has 72 divisors (see below), whose sum is σ = 2114880768. Its totient is φ = 207468000.

The previous prime is 729105803. The next prime is 729105821. The reversal of 729105804 is 408501927.

729105804 is a `hidden beast` number, since 72 + 9 + 1 + 0 + 580 + 4 = 666.

729105804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (729105803) 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, 57489 + ... + 69015.

It is an arithmetic number, because the mean of its divisors is an integer number (29373344).

Almost surely, 2^729105804 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 729105804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057440384).

729105804 is an abundant number, since it is smaller than the sum of its proper divisors (1385774964).

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

729105804 is a wasteful number, since it uses less digits than its factorization.

729105804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11790 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 729105804 is about 27001.9592622461. The cubic root of 729105804 is about 900.0435386345.

The spelling of 729105804 in words is "seven hundred twenty-nine million, one hundred five thousand, eight hundred four".