729810 has 80 divisors (see below), whose sum is σ = 2117016. Its totient is φ = 179712.

The previous prime is 729791. The next prime is 729821. The reversal of 729810 is 18927.

It can be written as a sum of positive squares in 4 ways, for example, as 700569 + 29241 = 837^2 + 171^2 .

It is a super-2 number, since 2×729810² = 1065245272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729810.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13744 + ... + 13796.

2⁷²⁹⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058508).

729810 is an abundant number, since it is smaller than the sum of its proper divisors (1387206).

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

729810 is a wasteful number, since it uses less digits than its factorization.

729810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 729810 is about 854.2891782061. The cubic root of 729810 is about 90.0333209953.

The spelling of 729810 in words is "seven hundred twenty-nine thousand, eight hundred ten".