729980 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 258048.

The previous prime is 729979. The next prime is 729991. The reversal of 729980 is 89927.

It is a self number, because there is not a number n which added to its sum of digits gives 729980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404 + ... + 6516.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁷²⁹⁹⁸⁰ 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 729980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

729980 is an abundant number, since it is smaller than the sum of its proper divisors (993700).

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

729980 is a wasteful number, since it uses less digits than its factorization.

729980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 729980 is about 854.3886703369. The cubic root of 729980 is about 90.0403111600.

The spelling of 729980 in words is "seven hundred twenty-nine thousand, nine hundred eighty".