8220177108 has 270 divisors, whose sum is σ = 25639142298. Its totient is φ = 2281245120.

The previous prime is 8220177101. The next prime is 8220177143. The reversal of 8220177108 is 8017710228.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5690891844 + 2529285264 = 75438^2 + 50292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220177101) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 64725741 + ... + 64725867.

Almost surely, 2^8220177108 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 8220177108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819571149).

8220177108 is an abundant number, since it is smaller than the sum of its proper divisors (17418965190).

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

8220177108 is a wasteful number, since it uses less digits than its factorization.

8220177108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 8220177108 is about 90665.1923728175. The cubic root of 8220177108 is about 2018.1822935187.

The spelling of 8220177108 in words is "eight billion, two hundred twenty million, one hundred seventy-seven thousand, one hundred eight".