7864761857 has 2 divisors, whose sum is σ = 7864761858. Its totient is φ = 7864761856.

The previous prime is 7864761851. The next prime is 7864761859. The reversal of 7864761857 is 7581674687.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4249866481 + 3614895376 = 65191^2 + 60124^2 .

It is a cyclic number.

It is not a de Polignac number, because 7864761857 - 2¹⁰ = 7864760833 is a prime.

Together with 7864761859, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 7864761796 and 7864761805.

It is not a weakly prime, because it can be changed into another prime (7864761851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3932380928 + 3932380929.

It is an arithmetic number, because the mean of its divisors is an integer number (3932380929).

Almost surely, 2^7864761857 is an apocalyptic number.

It is an amenable number.

7864761857 is a deficient number, since it is larger than the sum of its proper divisors (1).

7864761857 is an equidigital number, since it uses as much as digits as its factorization.

7864761857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15805440, while the sum is 59.

The square root of 7864761857 is about 88683.4925845842. The cubic root of 7864761857 is about 1988.6660468313. Note that the first 3 decimals are identical.

The spelling of 7864761857 in words is "seven billion, eight hundred sixty-four million, seven hundred sixty-one thousand, eight hundred fifty-seven".