8026666800 has 120 divisors (see below), whose sum is σ = 26148118080. Its totient is φ = 2104147200.

The previous prime is 8026666787. The next prime is 8026666811. The reversal of 8026666800 is 86666208.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14115 + ... + 127485.

It is an arithmetic number, because the mean of its divisors is an integer number (217900984).

Almost surely, 2^8026666800 is an apocalyptic number.

8026666800 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 8026666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074059040).

8026666800 is an abundant number, since it is smaller than the sum of its proper divisors (18121451280).

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

8026666800 is a wasteful number, since it uses less digits than its factorization.

8026666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113451 (or 113440 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8026666800 is about 89591.6670232226. The cubic root of 8026666800 is about 2002.2197687352.

The spelling of 8026666800 in words is "eight billion, twenty-six million, six hundred sixty-six thousand, eight hundred".