8076442176 has 504 divisors, whose sum is σ = 27801234720. Its totient is φ = 2296926720.

The previous prime is 8076442141. The next prime is 8076442207. The reversal of 8076442176 is 6712446708.

It is a super-2 number, since 2×8076442176² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75480715 + ... + 75480821.

It is an arithmetic number, because the mean of its divisors is an integer number (55161180).

Almost surely, 2^8076442176 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 8076442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900617360).

8076442176 is an abundant number, since it is smaller than the sum of its proper divisors (19724792544).

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

8076442176 is a wasteful number, since it uses less digits than its factorization.

8076442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8076442176 is about 89869.0279017193. The cubic root of 8076442176 is about 2006.3499987539.

The spelling of 8076442176 in words is "eight billion, seventy-six million, four hundred forty-two thousand, one hundred seventy-six".