8077824216 has 96 divisors (see below), whose sum is σ = 27275788800. Its totient is φ = 2098134720.

The previous prime is 8077824191. The next prime is 8077824229. The reversal of 8077824216 is 6124287708.

8077824216 is a `hidden beast` number, since 80 + 77 + 82 + 421 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 722976 + ... + 734063.

It is an arithmetic number, because the mean of its divisors is an integer number (284122800).

Almost surely, 2^8077824216 is an apocalyptic number.

It is an amenable number.

8077824216 is an abundant number, since it is smaller than the sum of its proper divisors (19197964584).

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

8077824216 is a wasteful number, since it uses less digits than its factorization.

8077824216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457069 (or 1457062 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8077824216 is about 89876.7167624630. The cubic root of 8077824216 is about 2006.4644343657.

The spelling of 8077824216 in words is "eight billion, seventy-seven million, eight hundred twenty-four thousand, two hundred sixteen".