729600810 has 48 divisors (see below), whose sum is σ = 1809420768. Its totient is φ = 188276640.

The previous prime is 729600803. The next prime is 729600811. The reversal of 729600810 is 18006927.

It is a super-2 number, since 2×729600810² = 1064634683905312200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729600811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16177 + ... + 41483.

It is an arithmetic number, because the mean of its divisors is an integer number (37696266).

Almost surely, 2^729600810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729600810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904710384).

729600810 is an abundant number, since it is smaller than the sum of its proper divisors (1079819958).

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

729600810 is a wasteful number, since it uses less digits than its factorization.

729600810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25379 (or 25348 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 729600810 is about 27011.1238196414. The cubic root of 729600810 is about 900.2471790213.

The spelling of 729600810 in words is "seven hundred twenty-nine million, six hundred thousand, eight hundred ten".