729296784 has 100 divisors (see below), whose sum is σ = 2123141020. Its totient is φ = 241678080.

The previous prime is 729296783. The next prime is 729296797. The reversal of 729296784 is 487692927.

729296784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 677456784 = 7200^2 + 26028^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 729296784.

It is not an unprimeable number, because it can be changed into a prime (729296783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 233022 + ... + 236130.

Almost surely, 2^729296784 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 729296784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061570510).

729296784 is an abundant number, since it is smaller than the sum of its proper divisors (1393844236).

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

729296784 is a wasteful number, since it uses less digits than its factorization.

729296784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3295 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 729296784 is about 27005.4954407432. The cubic root of 729296784 is about 900.1221167631.

The spelling of 729296784 in words is "seven hundred twenty-nine million, two hundred ninety-six thousand, seven hundred eighty-four".