8012772108 has 144 divisors (see below), whose sum is σ = 23126777856. Its totient is φ = 2315470080.

The previous prime is 8012772107. The next prime is 8012772127.

It is a happy number.

8012772108 is nontrivially palindromic in base 10.

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 (8012772101) by changing a digit.

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, 3487216 + ... + 3489512.

It is an arithmetic number, because the mean of its divisors is an integer number (160602624).

Almost surely, 2^8012772108 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 8012772108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563388928).

8012772108 is an abundant number, since it is smaller than the sum of its proper divisors (15114005748).

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

8012772108 is a wasteful number, since it uses less digits than its factorization.

8012772108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2719 counting only the distinct ones).

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

The square root of 8012772108 is about 89514.0888799076. The cubic root of 8012772108 is about 2001.0637764229.

The spelling of 8012772108 in words is "eight billion, twelve million, seven hundred seventy-two thousand, one hundred eight".