729346680 has 160 divisors (see below), whose sum is σ = 2464624800. Its totient is φ = 193446144.

The previous prime is 729346591. The next prime is 729346697. The reversal of 729346680 is 86643927.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 741469 + ... + 742451.

It is an arithmetic number, because the mean of its divisors is an integer number (15403905).

Almost surely, 2^729346680 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 729346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232312400).

729346680 is an abundant number, since it is smaller than the sum of its proper divisors (1735278120).

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

729346680 is a wasteful number, since it uses less digits than its factorization.

729346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 729346680 is about 27006.4192369148. The cubic root of 729346680 is about 900.1426440573.

The spelling of 729346680 in words is "seven hundred twenty-nine million, three hundred forty-six thousand, six hundred eighty".