8002768 has 10 divisors (see below), whose sum is σ = 15505394. Its totient is φ = 4001376.

The previous prime is 8002759. The next prime is 8002769. The reversal of 8002768 is 8672008.

It can be written as a sum of positive squares in only one way, i.e., 7997584 + 5184 = 2828^2 + 72^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250071 + ... + 250102.

Almost surely, 2^8002768 is an apocalyptic number.

It is an amenable number.

8002768 is a deficient number, since it is larger than the sum of its proper divisors (7502626).

8002768 is a wasteful number, since it uses less digits than its factorization.

8002768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500181 (or 500175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 8002768 is about 2828.9164003201. The cubic root of 8002768 is about 200.0230640068.

The spelling of 8002768 in words is "eight million, two thousand, seven hundred sixty-eight".