8079633100 has 144 divisors (see below), whose sum is σ = 21967094016. Its totient is φ = 2505888000.

The previous prime is 8079633097. The next prime is 8079633101. The reversal of 8079633100 is 13369708.

It is a super-2 number, since 2×8079633100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8079633100.

It is not an unprimeable number, because it can be changed into a prime (8079633101) 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, 1622214 + ... + 1627186.

It is an arithmetic number, because the mean of its divisors is an integer number (152549264).

Almost surely, 2^8079633100 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 8079633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983547008).

8079633100 is an abundant number, since it is smaller than the sum of its proper divisors (13887460916).

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

8079633100 is a wasteful number, since it uses less digits than its factorization.

8079633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 8079633100 is about 89886.7793393444. The cubic root of 8079633100 is about 2006.6141937741.

The spelling of 8079633100 in words is "eight billion, seventy-nine million, six hundred thirty-three thousand, one hundred".