82782208 has 48 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 40808448.

The previous prime is 82782179. The next prime is 82782223. The reversal of 82782208 is 80228728.

It is a super-2 number, since 2×82782208² = 13705787922710528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169741 + ... + 170227.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^82782208 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 82782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83931120).

82782208 is an abundant number, since it is smaller than the sum of its proper divisors (85080032).

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

82782208 is an equidigital number, since it uses as much as digits as its factorization.

82782208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 82782208 is about 9098.4728388890. The cubic root of 82782208 is about 435.8251971601.

The spelling of 82782208 in words is "eighty-two million, seven hundred eighty-two thousand, two hundred eight".