8004102768 has 30 divisors (see below), whose sum is σ = 22400371344. Its totient is φ = 2668034208.

The previous prime is 8004102761. The next prime is 8004102797. The reversal of 8004102768 is 8672014008.

It is a super-2 number, since 2×8004102768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004102761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27791880 + ... + 27792167.

Almost surely, 2^8004102768 is an apocalyptic number.

It is an amenable number.

8004102768 is an abundant number, since it is smaller than the sum of its proper divisors (14396268576).

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

8004102768 is a wasteful number, since it uses less digits than its factorization.

8004102768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55584061 (or 55584052 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8004102768 is about 89465.6513305526. The cubic root of 8004102768 is about 2000.3418389031.

The spelling of 8004102768 in words is "eight billion, four million, one hundred two thousand, seven hundred sixty-eight".