8120873376 has 576 divisors, whose sum is σ = 30341364480. Its totient is φ = 2093921280.

The previous prime is 8120873347. The next prime is 8120873377. The reversal of 8120873376 is 6733780218.

8120873376 is a `hidden beast` number, since 8 + 1 + 208 + 73 + 376 = 666.

It is not an unprimeable number, because it can be changed into a prime (8120873377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59276380 + ... + 59276516.

It is an arithmetic number, because the mean of its divisors is an integer number (52675980).

Almost surely, 2^8120873376 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 8120873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170682240).

8120873376 is an abundant number, since it is smaller than the sum of its proper divisors (22220491104).

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

8120873376 is a wasteful number, since it uses less digits than its factorization.

8120873376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8120873376 is about 90115.8885879732. Note that the first 3 decimals coincide. The cubic root of 8120873376 is about 2010.0224724598.

The spelling of 8120873376 in words is "eight billion, one hundred twenty million, eight hundred seventy-three thousand, three hundred seventy-six".