729820 has 48 divisors (see below), whose sum is σ = 1891008. Its totient is φ = 230400.

The previous prime is 729791. The next prime is 729821. The reversal of 729820 is 28927.

729820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 2020.

It is an arithmetic number, because the mean of its divisors is an integer number (39396).

2⁷²⁹⁸²⁰ is an apocalyptic number.

729820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945504).

729820 is an abundant number, since it is smaller than the sum of its proper divisors (1161188).

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

729820 is a wasteful number, since it uses less digits than its factorization.

729820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 729820 is about 854.2950310051. The cubic root of 729820 is about 90.0337322115.

The spelling of 729820 in words is "seven hundred twenty-nine thousand, eight hundred twenty".