729031680 has 264 divisors, whose sum is σ = 2722624632. Its totient is φ = 179306496.

The previous prime is 729031649. The next prime is 729031687. The reversal of 729031680 is 86130927.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 727704576 = 1152^2 + 26976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (729031687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598432 + ... + 599648.

Almost surely, 2^729031680 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 729031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361312316).

729031680 is an abundant number, since it is smaller than the sum of its proper divisors (1993592952).

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

729031680 is a wasteful number, since it uses less digits than its factorization.

729031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 729031680 is about 27000.5866602931. The cubic root of 729031680 is about 900.0130368482.

The spelling of 729031680 in words is "seven hundred twenty-nine million, thirty-one thousand, six hundred eighty".