729799200 has 576 divisors, whose sum is σ = 2992308480. Its totient is φ = 170311680.

The previous prime is 729799153. The next prime is 729799201. The reversal of 729799200 is 2997927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (729799201) 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 95 ways as a sum of consecutive naturals, for example, 6458344 + ... + 6458456.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^729799200 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 729799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

729799200 is an abundant number, since it is smaller than the sum of its proper divisors (2262509280).

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

729799200 is a wasteful number, since it uses less digits than its factorization.

729799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 729799200 is about 27014.7959459256. The cubic root of 729799200 is about 900.3287687755.

The spelling of 729799200 in words is "seven hundred twenty-nine million, seven hundred ninety-nine thousand, two hundred".