8000764127 has 2 divisors, whose sum is σ = 8000764128. Its totient is φ = 8000764126.

The previous prime is 8000764073. The next prime is 8000764129. The reversal of 8000764127 is 7214670008.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8000764127 - 2¹⁶ = 8000698591 is a prime.

Together with 8000764129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8000764129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000382063 + 4000382064.

It is an arithmetic number, because the mean of its divisors is an integer number (4000382064).

Almost surely, 2^8000764127 is an apocalyptic number.

8000764127 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000764127 is an equidigital number, since it uses as much as digits as its factorization.

8000764127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 8000764127 is about 89446.9905977837. The cubic root of 8000764127 is about 2000.0636752227.

The spelling of 8000764127 in words is "eight billion, seven hundred sixty-four thousand, one hundred twenty-seven".