772008761 has 2 divisors, whose sum is σ = 772008762. Its totient is φ = 772008760.

The previous prime is 772008733. The next prime is 772008763. The reversal of 772008761 is 167800277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 430313536 + 341695225 = 20744^2 + 18485^2 .

It is a cyclic number.

It is not a de Polignac number, because 772008761 - 2⁶ = 772008697 is a prime.

Together with 772008763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (772008763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386004380 + 386004381.

It is an arithmetic number, because the mean of its divisors is an integer number (386004381).

Almost surely, 2^772008761 is an apocalyptic number.

It is an amenable number.

772008761 is a deficient number, since it is larger than the sum of its proper divisors (1).

772008761 is an equidigital number, since it uses as much as digits as its factorization.

772008761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 772008761 is about 27785.0456360971. The cubic root of 772008761 is about 917.3619928689.

The spelling of 772008761 in words is "seven hundred seventy-two million, eight thousand, seven hundred sixty-one".