82061280 has 216 divisors, whose sum is σ = 326034072. Its totient is φ = 18740736.

The previous prime is 82061279. The next prime is 82061311. The reversal of 82061280 is 8216028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69979 + ... + 71141.

It is an arithmetic number, because the mean of its divisors is an integer number (1509417).

Almost surely, 2^82061280 is an apocalyptic number.

82061280 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 82061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163017036).

82061280 is an abundant number, since it is smaller than the sum of its proper divisors (243972792).

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

82061280 is a wasteful number, since it uses less digits than its factorization.

82061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82061280 is about 9058.7681281728. The cubic root of 82061280 is about 434.5563451352.

The spelling of 82061280 in words is "eighty-two million, sixty-one thousand, two hundred eighty".