82786880 has 112 divisors (see below), whose sum is σ = 222747840. Its totient is φ = 29030400.

The previous prime is 82786859. The next prime is 82786903. The reversal of 82786880 is 8868728.

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 15 ways as a sum of consecutive naturals, for example, 101675 + ... + 102485.

It is an arithmetic number, because the mean of its divisors is an integer number (1988820).

Almost surely, 2^82786880 is an apocalyptic number.

82786880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373920).

82786880 is an abundant number, since it is smaller than the sum of its proper divisors (139960960).

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

82786880 is a wasteful number, since it uses less digits than its factorization.

82786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 82786880 is about 9098.7295816504. The cubic root of 82786880 is about 435.8333959308.

The spelling of 82786880 in words is "eighty-two million, seven hundred eighty-six thousand, eight hundred eighty".