82000836 has 84 divisors (see below), whose sum is σ = 219155244. Its totient is φ = 26827200.

The previous prime is 82000829. The next prime is 82000847. The reversal of 82000836 is 63800028.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 70056900 = 3456^2 + 8370^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 177646 + ... + 178106.

It is an arithmetic number, because the mean of its divisors is an integer number (2608991).

Almost surely, 2^82000836 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 82000836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109577622).

82000836 is an abundant number, since it is smaller than the sum of its proper divisors (137154408).

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

82000836 is a wasteful number, since it uses less digits than its factorization.

82000836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82000836 is about 9055.4312983977. The cubic root of 82000836 is about 434.4496249891.

The spelling of 82000836 in words is "eighty-two million, eight hundred thirty-six", and thus it is an aban number.