8121876480 has 504 divisors, whose sum is σ = 30944408292. Its totient is φ = 2038431744.

The previous prime is 8121876443. The next prime is 8121876523. The reversal of 8121876480 is 846781218.

8121876480 is a `hidden beast` number, since 81 + 21 + 8 + 76 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8074100736 + 47775744 = 89856^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477757432 + ... + 477757448.

Almost surely, 2^8121876480 is an apocalyptic number.

8121876480 is a gapful number since it is divisible by the number (80) 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 8121876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472204146).

8121876480 is an abundant number, since it is smaller than the sum of its proper divisors (22822531812).

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

8121876480 is an frugal number, since it uses more digits than its factorization.

8121876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8121876480 is about 90121.4540495214. The cubic root of 8121876480 is about 2010.1052295098.

The spelling of 8121876480 in words is "eight billion, one hundred twenty-one million, eight hundred seventy-six thousand, four hundred eighty".