729313680 has 80 divisors (see below), whose sum is σ = 2278229184. Its totient is φ = 192990720.

The previous prime is 729313661. The next prime is 729313681. The reversal of 729313680 is 86313927.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (729313681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19842 + ... + 43038.

Almost surely, 2^729313680 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 729313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139114592).

729313680 is an abundant number, since it is smaller than the sum of its proper divisors (1548915504).

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

729313680 is a wasteful number, since it uses less digits than its factorization.

729313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23344 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 729313680 is about 27005.8082641494. The cubic root of 729313680 is about 900.1290679094.

The spelling of 729313680 in words is "seven hundred twenty-nine million, three hundred thirteen thousand, six hundred eighty".