832761216 has 256 divisors, whose sum is σ = 2908224000. Its totient is φ = 229533696.

The previous prime is 832761197. The next prime is 832761233. The reversal of 832761216 is 612167238.

832761216 is a `hidden beast` number, since 8 + 3 + 27 + 612 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700975 + ... + 702161.

It is an arithmetic number, because the mean of its divisors is an integer number (11360250).

Almost surely, 2^832761216 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 832761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454112000).

832761216 is an abundant number, since it is smaller than the sum of its proper divisors (2075462784).

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

832761216 is a wasteful number, since it uses less digits than its factorization.

832761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1228 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 832761216 is about 28857.6023952095. The cubic root of 832761216 is about 940.8206263699.

The spelling of 832761216 in words is "eight hundred thirty-two million, seven hundred sixty-one thousand, two hundred sixteen".