729852800 has 96 divisors (see below), whose sum is σ = 1833011400. Its totient is φ = 287078400.

The previous prime is 729852791. The next prime is 729852847. The reversal of 729852800 is 8258927.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193331 + ... + 197069.

Almost surely, 2^729852800 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 729852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916505700).

729852800 is an abundant number, since it is smaller than the sum of its proper divisors (1103158600).

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

729852800 is a wasteful number, since it uses less digits than its factorization.

729852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 729852800 is about 27015.7879766628. The cubic root of 729852800 is about 900.3508097427.

The spelling of 729852800 in words is "seven hundred twenty-nine million, eight hundred fifty-two thousand, eight hundred".