729397008 has 160 divisors (see below), whose sum is σ = 2158790400. Its totient is φ = 235699200.

The previous prime is 729397001. The next prime is 729397013. The reversal of 729397008 is 800793927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729397001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345173 + ... + 2345483.

It is an arithmetic number, because the mean of its divisors is an integer number (13492440).

Almost surely, 2^729397008 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 729397008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079395200).

729397008 is an abundant number, since it is smaller than the sum of its proper divisors (1429393392).

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

729397008 is a wasteful number, since it uses less digits than its factorization.

729397008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 729397008 is about 27007.3509993113. The cubic root of 729397008 is about 900.1633481286.

The spelling of 729397008 in words is "seven hundred twenty-nine million, three hundred ninety-seven thousand, eight".