8120806848 has 336 divisors, whose sum is σ = 30299558400. Its totient is φ = 2109058560.

The previous prime is 8120806843. The next prime is 8120806861. The reversal of 8120806848 is 8486080218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120806843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927033 + ... + 935751.

Almost surely, 2^8120806848 is an apocalyptic number.

8120806848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149779200).

8120806848 is an abundant number, since it is smaller than the sum of its proper divisors (22178751552).

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

8120806848 is a wasteful number, since it uses less digits than its factorization.

8120806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 8120806848 is about 90115.5194625210. The cubic root of 8120806848 is about 2010.0169835945.

The spelling of 8120806848 in words is "eight billion, one hundred twenty million, eight hundred six thousand, eight hundred forty-eight".