729865760 has 96 divisors (see below), whose sum is σ = 1966274352. Its totient is φ = 253624320.

The previous prime is 729865751. The next prime is 729865781. The reversal of 729865760 is 67568927.

It can be written as a sum of positive squares in 8 ways, for example, as 154057744 + 575808016 = 12412^2 + 23996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 729865699 and 729865708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25040 + ... + 45680.

Almost surely, 2^729865760 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 729865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983137176).

729865760 is an abundant number, since it is smaller than the sum of its proper divisors (1236408592).

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

729865760 is a wasteful number, since it uses less digits than its factorization.

729865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20686 (or 20678 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 729865760 is about 27016.0278353425. The cubic root of 729865760 is about 900.3561388891.

The spelling of 729865760 in words is "seven hundred twenty-nine million, eight hundred sixty-five thousand, seven hundred sixty".