729686880 has 480 divisors, whose sum is σ = 2858442048. Its totient is φ = 174182400.

The previous prime is 729686863. The next prime is 729686927. The reversal of 729686880 is 88686927.

729686880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10277245 + ... + 10277315.

Almost surely, 2^729686880 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 729686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429221024).

729686880 is an abundant number, since it is smaller than the sum of its proper divisors (2128755168).

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

729686880 is a wasteful number, since it uses less digits than its factorization.

729686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 729686880 is about 27012.7170051441. The cubic root of 729686880 is about 900.2825779348.

The spelling of 729686880 in words is "seven hundred twenty-nine million, six hundred eighty-six thousand, eight hundred eighty".