82122768 has 160 divisors (see below), whose sum is σ = 290259200. Its totient is φ = 21648384.

The previous prime is 82122763. The next prime is 82122779. The reversal of 82122768 is 86722128.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82122763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38268 + ... + 40356.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^82122768 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 82122768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145129600).

82122768 is an abundant number, since it is smaller than the sum of its proper divisors (208136432).

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

82122768 is a wasteful number, since it uses less digits than its factorization.

82122768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82122768 is about 9062.1613316030. The cubic root of 82122768 is about 434.6648548149.

The spelling of 82122768 in words is "eighty-two million, one hundred twenty-two thousand, seven hundred sixty-eight".