729427680 has 288 divisors, whose sum is σ = 2626906464. Its totient is φ = 191102976.

The previous prime is 729427669. The next prime is 729427717. The reversal of 729427680 is 86724927.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838112 + ... + 2838368.

It is an arithmetic number, because the mean of its divisors is an integer number (9121203).

Almost surely, 2^729427680 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 729427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313453232).

729427680 is an abundant number, since it is smaller than the sum of its proper divisors (1897478784).

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

729427680 is a wasteful number, since it uses less digits than its factorization.

729427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 729427680 is about 27007.9188387406. The cubic root of 729427680 is about 900.1759655934.

The spelling of 729427680 in words is "seven hundred twenty-nine million, four hundred twenty-seven thousand, six hundred eighty".