729900 has 54 divisors (see below), whose sum is σ = 2290652. Its totient is φ = 194400.

The previous prime is 729877. The next prime is 729907. The reversal of 729900 is 9927.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (729907) by changing a digit.

729900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495 + ... + 1305.

2⁷²⁹⁹⁰⁰ 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 729900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145326).

729900 is an abundant number, since it is smaller than the sum of its proper divisors (1560752).

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

729900 is a wasteful number, since it uses less digits than its factorization.

729900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 729900 is about 854.3418519539. The cubic root of 729900 is about 90.0370218059.

Adding to 729900 its sum of digits (27), we get a palindrome (729927).

It can be divided in two parts, 729 and 900, that multiplied together give a square (656100 = 810²).

The spelling of 729900 in words is "seven hundred twenty-nine thousand, nine hundred".