2772116077 has 2 divisors, whose sum is σ = 2772116078. Its totient is φ = 2772116076.

The previous prime is 2772116057. The next prime is 2772116107. The reversal of 2772116077 is 7706112772.

2772116077 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., 2619494761 + 152621316 = 51181^2 + 12354^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772116077 - 2⁷ = 2772115949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772116027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386058038 + 1386058039.

It is an arithmetic number, because the mean of its divisors is an integer number (1386058039).

Almost surely, 2^2772116077 is an apocalyptic number.

It is an amenable number.

2772116077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772116077 is an equidigital number, since it uses as much as digits as its factorization.

2772116077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57624, while the sum is 40.

The square root of 2772116077 is about 52650.8886629656. Note that the first 3 decimals coincide. The cubic root of 2772116077 is about 1404.7654065584.

The spelling of 2772116077 in words is "two billion, seven hundred seventy-two million, one hundred sixteen thousand, seventy-seven".