82204980 has 216 divisors, whose sum is σ = 278048736. Its totient is φ = 18120960.

The previous prime is 82204973. The next prime is 82204981. The reversal of 82204980 is 8940228.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82204981) 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 71 ways as a sum of consecutive naturals, for example, 1226907 + ... + 1226973.

Almost surely, 2^82204980 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 82204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139024368).

82204980 is an abundant number, since it is smaller than the sum of its proper divisors (195843756).

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

82204980 is a wasteful number, since it uses less digits than its factorization.

82204980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82204980 is about 9066.6962009323. The cubic root of 82204980 is about 434.8098521567.

The spelling of 82204980 in words is "eighty-two million, two hundred four thousand, nine hundred eighty".