82799872 has 72 divisors (see below), whose sum is σ = 180280800. Its totient is φ = 37804032.

The previous prime is 82799861. The next prime is 82799881. The reversal of 82799872 is 27899728.

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 7 ways as a sum of consecutive naturals, for example, 140763 + ... + 141349.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^82799872 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 82799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90140400).

82799872 is an abundant number, since it is smaller than the sum of its proper divisors (97480928).

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

82799872 is a wasteful number, since it uses less digits than its factorization.

82799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The square root of 82799872 is about 9099.4434994674. The cubic root of 82799872 is about 435.8561936305.

The spelling of 82799872 in words is "eighty-two million, seven hundred ninety-nine thousand, eight hundred seventy-two".