82208080 has 40 divisors (see below), whose sum is σ = 196306632. Its totient is φ = 31993344.

The previous prime is 82208057. The next prime is 82208089. The reversal of 82208080 is 8080228.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 54582544 = 5256^2 + 7388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82208089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10927 + ... + 16846.

Almost surely, 2^82208080 is an apocalyptic number.

82208080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82208080 is an abundant number, since it is smaller than the sum of its proper divisors (114098552).

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

82208080 is a wasteful number, since it uses less digits than its factorization.

82208080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27817 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 82208080 is about 9066.8671546461. The cubic root of 82208080 is about 434.8153177363.

The spelling of 82208080 in words is "eighty-two million, two hundred eight thousand, eighty".