832809672 has 108 divisors (see below), whose sum is σ = 2393859195. Its totient is φ = 261523296.

The previous prime is 832809667. The next prime is 832809683. The reversal of 832809672 is 276908238.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 416404836 + 416404836 = 20406^2 + 20406^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4652479 + ... + 4652657.

Almost surely, 2^832809672 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 832809672

832809672 is an abundant number, since it is smaller than the sum of its proper divisors (1561049523).

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

832809672 is a wasteful number, since it uses less digits than its factorization.

832809672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 832809672 is about 28858.4419537854. The cubic root of 832809672 is about 940.8388739056.

The spelling of 832809672 in words is "eight hundred thirty-two million, eight hundred nine thousand, six hundred seventy-two".