82007856 has 160 divisors (see below), whose sum is σ = 275220480. Its totient is φ = 22892544.

The previous prime is 82007843. The next prime is 82007869. The reversal of 82007856 is 65870028.

It is an interprime number because it is at equal distance from previous prime (82007843) and next prime (82007869).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82007856.

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, 141840 + ... + 142416.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 2^82007856 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 82007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

82007856 is an abundant number, since it is smaller than the sum of its proper divisors (193212624).

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

82007856 is a wasteful number, since it uses less digits than its factorization.

82007856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82007856 is about 9055.8189027829. The cubic root of 82007856 is about 434.4620222178.

The spelling of 82007856 in words is "eighty-two million, seven thousand, eight hundred fifty-six".