82280520 has 192 divisors, whose sum is σ = 309553920. Its totient is φ = 18565632.

The previous prime is 82280519. The next prime is 82280537. The reversal of 82280520 is 2508228.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259402 + ... + 259718.

It is an arithmetic number, because the mean of its divisors is an integer number (1612260).

Almost surely, 2^82280520 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 82280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154776960).

82280520 is an abundant number, since it is smaller than the sum of its proper divisors (227273400).

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

82280520 is a wasteful number, since it uses less digits than its factorization.

82280520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82280520 is about 9070.8610396147. The cubic root of 82280520 is about 434.9429968904.

Adding to 82280520 its reverse (2508228), we get a palindrome (84788748).

The spelling of 82280520 in words is "eighty-two million, two hundred eighty thousand, five hundred twenty".