82255680 has 210 divisors, whose sum is σ = 306501546. Its totient is φ = 20247552.

The previous prime is 82255637. The next prime is 82255681. The reversal of 82255680 is 8655228.

82255680 is a `hidden beast` number, since 8 + 22 + 556 + 80 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 73822464 + 8433216 = 8592^2 + 2904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82255681) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 6327354 + ... + 6327366.

Almost surely, 2^82255680 is an apocalyptic number.

82255680 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 82255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153250773).

82255680 is an abundant number, since it is smaller than the sum of its proper divisors (224245866).

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

82255680 is an equidigital number, since it uses as much as digits as its factorization.

82255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82255680 is about 9069.4917167391. The cubic root of 82255680 is about 434.8992235832.

The spelling of 82255680 in words is "eighty-two million, two hundred fifty-five thousand, six hundred eighty".