8075486880 has 288 divisors, whose sum is σ = 29460884544. Its totient is φ = 2007195648.

The previous prime is 8075486873. The next prime is 8075486959. The reversal of 8075486880 is 886845708.

8075486880 is a `hidden beast` number, since 80 + 7 + 5 + 486 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2617819 + ... + 2620901.

It is an arithmetic number, because the mean of its divisors is an integer number (102294738).

Almost surely, 2^8075486880 is an apocalyptic number.

8075486880 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 8075486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730442272).

8075486880 is an abundant number, since it is smaller than the sum of its proper divisors (21385397664).

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

8075486880 is a wasteful number, since it uses less digits than its factorization.

8075486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8075486880 is about 89863.7128100102. The cubic root of 8075486880 is about 2006.2708907482.

The spelling of 8075486880 in words is "eight billion, seventy-five million, four hundred eighty-six thousand, eight hundred eighty".