77779057 has 2 divisors, whose sum is σ = 77779058. Its totient is φ = 77779056.

The previous prime is 77779033. The next prime is 77779061. The reversal of 77779057 is 75097777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74926336 + 2852721 = 8656^2 + 1689^2 .

It is a cyclic number.

It is not a de Polignac number, because 77779057 - 2¹¹ = 77777009 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77779057.

It is not a weakly prime, because it can be changed into another prime (77779007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38889528 + 38889529.

It is an arithmetic number, because the mean of its divisors is an integer number (38889529).

Almost surely, 2^77779057 is an apocalyptic number.

It is an amenable number.

77779057 is a deficient number, since it is larger than the sum of its proper divisors (1).

77779057 is an equidigital number, since it uses as much as digits as its factorization.

77779057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756315, while the sum is 49.

The square root of 77779057 is about 8819.2435616667. The cubic root of 77779057 is about 426.8620618573.

The spelling of 77779057 in words is "seventy-seven million, seven hundred seventy-nine thousand, fifty-seven".