82876824 has 64 divisors (see below), whose sum is σ = 235593600. Its totient is φ = 26980128.

The previous prime is 82876817. The next prime is 82876837. The reversal of 82876824 is 42867828.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82876824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4827 + ... + 13749.

It is an arithmetic number, because the mean of its divisors is an integer number (3681150).

Almost surely, 2^82876824 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 82876824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117796800).

82876824 is an abundant number, since it is smaller than the sum of its proper divisors (152716776).

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

82876824 is a wasteful number, since it uses less digits than its factorization.

82876824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8971 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82876824 is about 9103.6709079360. The cubic root of 82876824 is about 435.9911762095.

The spelling of 82876824 in words is "eighty-two million, eight hundred seventy-six thousand, eight hundred twenty-four".