729795906 has 120 divisors (see below), whose sum is σ = 1925504460. Its totient is φ = 205970688.

The previous prime is 729795901. The next prime is 729795919. The reversal of 729795906 is 609597927.

It can be written as a sum of positive squares in 2 ways, for example, as 716900625 + 12895281 = 26775^2 + 3591^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729795901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 705966 + ... + 706998.

Almost surely, 2^729795906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729795906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962752230).

729795906 is an abundant number, since it is smaller than the sum of its proper divisors (1195708554).

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

729795906 is a wasteful number, since it uses less digits than its factorization.

729795906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

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

The square root of 729795906 is about 27014.7349792664. The cubic root of 729795906 is about 900.3274142077.

The spelling of 729795906 in words is "seven hundred twenty-nine million, seven hundred ninety-five thousand, nine hundred six".