82882080 has 72 divisors (see below), whose sum is σ = 282840012. Its totient is φ = 22101504.

The previous prime is 82882073. The next prime is 82882081. The reversal of 82882080 is 8028828.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 5934096 = 8772^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (82882081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27339 + ... + 30218.

Almost surely, 2^82882080 is an apocalyptic number.

82882080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82882080 is an abundant number, since it is smaller than the sum of its proper divisors (199957932).

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

82882080 is a wasteful number, since it uses less digits than its factorization.

82882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57578 (or 57567 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 82882080 is about 9103.9595781176. The cubic root of 82882080 is about 436.0003927836. Note that the first 3 decimals are identical.

The spelling of 82882080 in words is "eighty-two million, eight hundred eighty-two thousand, eighty".