8068014800 has 60 divisors (see below), whose sum is σ = 19395071136. Its totient is φ = 3225264000.

The previous prime is 8068014763. The next prime is 8068014811. The reversal of 8068014800 is 84108608.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 789725 + ... + 799875.

Almost surely, 2^8068014800 is an apocalyptic number.

8068014800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8068014800 is an abundant number, since it is smaller than the sum of its proper divisors (11327056336).

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

8068014800 is a wasteful number, since it uses less digits than its factorization.

8068014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 8068014800 is about 89822.1286766240. The cubic root of 8068014800 is about 2005.6519128949.

The spelling of 8068014800 in words is "eight billion, sixty-eight million, fourteen thousand, eight hundred".