729655680 has 512 divisors, whose sum is σ = 2763694080. Its totient is φ = 162201600.

The previous prime is 729655669. The next prime is 729655681. The reversal of 729655680 is 86556927.

It is a happy number.

729655680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×729655680² = 1064794822712524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729655681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17796460 + ... + 17796500.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^729655680 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 729655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

729655680 is an abundant number, since it is smaller than the sum of its proper divisors (2034038400).

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

729655680 is a wasteful number, since it uses less digits than its factorization.

729655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 729655680 is about 27012.1394931982. The cubic root of 729655680 is about 900.2697463046.

The spelling of 729655680 in words is "seven hundred twenty-nine million, six hundred fifty-five thousand, six hundred eighty".