83322784 has 48 divisors (see below), whose sum is σ = 169678152. Its totient is φ = 40255488.

The previous prime is 83322769. The next prime is 83322803. The reversal of 83322784 is 48722338.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74442384 + 8880400 = 8628^2 + 2980^2 .

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, 123472 + ... + 124144.

Almost surely, 2^83322784 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 83322784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84839076).

83322784 is an abundant number, since it is smaller than the sum of its proper divisors (86355368).

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

83322784 is a wasteful number, since it uses less digits than its factorization.

83322784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 83322784 is about 9128.1314626817. The cubic root of 83322784 is about 436.7718002073.

The spelling of 83322784 in words is "eighty-three million, three hundred twenty-two thousand, seven hundred eighty-four".