82022760 has 128 divisors (see below), whose sum is σ = 275616000. Its totient is φ = 21696768.

The previous prime is 82022737. The next prime is 82022771. The reversal of 82022760 is 6722028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186621 + ... + 187059.

It is an arithmetic number, because the mean of its divisors is an integer number (2153250).

Almost surely, 2^82022760 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 82022760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137808000).

82022760 is an abundant number, since it is smaller than the sum of its proper divisors (193593240).

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

82022760 is a wasteful number, since it uses less digits than its factorization.

82022760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82022760 is about 9056.6417617128. The cubic root of 82022760 is about 434.4883401425.

Adding to 82022760 its reverse (6722028), we get a palindrome (88744788).

The spelling of 82022760 in words is "eighty-two million, twenty-two thousand, seven hundred sixty".