766126993 has 2 divisors, whose sum is σ = 766126994. Its totient is φ = 766126992.

The previous prime is 766126979. The next prime is 766127009. The reversal of 766126993 is 399621667.

766126993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 649638144 + 116488849 = 25488^2 + 10793^2 .

It is a cyclic number.

It is not a de Polignac number, because 766126993 - 2¹⁷ = 765995921 is a prime.

It is not a weakly prime, because it can be changed into another prime (766126903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383063496 + 383063497.

It is an arithmetic number, because the mean of its divisors is an integer number (383063497).

Almost surely, 2^766126993 is an apocalyptic number.

It is an amenable number.

766126993 is a deficient number, since it is larger than the sum of its proper divisors (1).

766126993 is an equidigital number, since it uses as much as digits as its factorization.

766126993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 49.

The square root of 766126993 is about 27678.9991329166. Note that the first 3 decimals coincide. The cubic root of 766126993 is about 915.0263235084.

The spelling of 766126993 in words is "seven hundred sixty-six million, one hundred twenty-six thousand, nine hundred ninety-three".