729600000 has 312 divisors, whose sum is σ = 2559523680. Its totient is φ = 184320000.

The previous prime is 729599989. The next prime is 729600007. The reversal of 729600000 is 6927.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729600007) 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, 38399991 + ... + 38400009.

Almost surely, 2^729600000 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 729600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279761840).

729600000 is an abundant number, since it is smaller than the sum of its proper divisors (1829923680).

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

729600000 is an frugal number, since it uses more digits than its factorization.

729600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 729600000 is about 27011.1088258146. The cubic root of 729600000 is about 900.2468458709.

Adding to 729600000 its reverse (6927), we get a palindrome (729606927).

The spelling of 729600000 in words is "seven hundred twenty-nine million, six hundred thousand".