729800000 has 168 divisors, whose sum is σ = 1875114360. Its totient is φ = 281600000.

The previous prime is 729799997. The next prime is 729800009. The reversal of 729800000 is 8927.

It can be written as a sum of positive squares in 12 ways, for example, as 613850176 + 115949824 = 24776^2 + 10768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729800009) 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, 8199956 + ... + 8200044.

It is an arithmetic number, because the mean of its divisors is an integer number (11161395).

Almost surely, 2^729800000 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 729800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937557180).

729800000 is an abundant number, since it is smaller than the sum of its proper divisors (1145314360).

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

729800000 is an frugal number, since it uses more digits than its factorization.

729800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 729800000 is about 27014.8107526223. The cubic root of 729800000 is about 900.3290977531.

Adding to 729800000 its reverse (8927), we get a palindrome (729808927).

The spelling of 729800000 in words is "seven hundred twenty-nine million, eight hundred thousand".