8217179820 has 144 divisors (see below), whose sum is σ = 25653019392. Its totient is φ = 2127790080.

The previous prime is 8217179809. The next prime is 8217179833. The reversal of 8217179820 is 289717128.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1643244 + ... + 1648236.

It is an arithmetic number, because the mean of its divisors is an integer number (178145968).

Almost surely, 2^8217179820 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 8217179820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12826509696).

8217179820 is an abundant number, since it is smaller than the sum of its proper divisors (17435839572).

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

8217179820 is a wasteful number, since it uses less digits than its factorization.

8217179820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 8217179820 is about 90648.6614352358. The cubic root of 8217179820 is about 2017.9369699750.

The spelling of 8217179820 in words is "eight billion, two hundred seventeen million, one hundred seventy-nine thousand, eight hundred twenty".