706809728 has 64 divisors (see below), whose sum is σ = 1492137600. Its totient is φ = 332563968.

The previous prime is 706809713. The next prime is 706809739. The reversal of 706809728 is 827908607.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395525 + ... + 397307.

It is an arithmetic number, because the mean of its divisors is an integer number (23314650).

Almost surely, 2^706809728 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 706809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746068800).

706809728 is an abundant number, since it is smaller than the sum of its proper divisors (785327872).

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

706809728 is a wasteful number, since it uses less digits than its factorization.

706809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 706809728 is about 26585.8934023290. The cubic root of 706809728 is about 890.7739461457.

It can be divided in two parts, 70680 and 9728, that added together give a palindrome (80408).

The spelling of 706809728 in words is "seven hundred six million, eight hundred nine thousand, seven hundred twenty-eight".