768001007 has 2 divisors, whose sum is σ = 768001008. Its totient is φ = 768001006.

The previous prime is 768001001. The next prime is 768001021. The reversal of 768001007 is 700100867.

It is a weak prime.

It is an emirp because it is prime and its reverse (700100867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768001007 - 2⁴ = 768000991 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768001001) by changing a digit.

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 as a sum of consecutive naturals, namely, 384000503 + 384000504.

It is an arithmetic number, because the mean of its divisors is an integer number (384000504).

Almost surely, 2^768001007 is an apocalyptic number.

768001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

768001007 is an equidigital number, since it uses as much as digits as its factorization.

768001007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 768001007 is about 27712.8310895874. The cubic root of 768001007 is about 915.7717942950.

The spelling of 768001007 in words is "seven hundred sixty-eight million, one thousand, seven".