8066278080 has 1008 divisors, whose sum is σ = 35098146720. Its totient is φ = 1755758592.

The previous prime is 8066278079. The next prime is 8066278093. The reversal of 8066278080 is 808726608.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 110496924 + ... + 110496996.

It is an arithmetic number, because the mean of its divisors is an integer number (34819590).

Almost surely, 2^8066278080 is an apocalyptic number.

8066278080 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 8066278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549073360).

8066278080 is an abundant number, since it is smaller than the sum of its proper divisors (27031868640).

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

8066278080 is a wasteful number, since it uses less digits than its factorization.

8066278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8066278080 is about 89812.4606054193. The cubic root of 8066278080 is about 2005.5079904290.

It can be divided in two parts, 8066 and 278080, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 8066278080 in words is "eight billion, sixty-six million, two hundred seventy-eight thousand, eighty".