768792006 has 16 divisors (see below), whose sum is σ = 1708426800. Its totient is φ = 256263984.

The previous prime is 768791963. The next prime is 768792049. The reversal of 768792006 is 600297867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768791963) and next prime (768792049).

It is a super-3 number, since 3×768792006³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7118391 + ... + 7118498.

It is an arithmetic number, because the mean of its divisors is an integer number (106776675).

Almost surely, 2^768792006 is an apocalyptic number.

768792006 is an abundant number, since it is smaller than the sum of its proper divisors (939634794).

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

768792006 is a wasteful number, since it uses less digits than its factorization.

768792006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236900 (or 14236894 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 768792006 is about 27727.0987663693. The cubic root of 768792006 is about 916.0860846932.

The spelling of 768792006 in words is "seven hundred sixty-eight million, seven hundred ninety-two thousand, six".