77084977 has 2 divisors, whose sum is σ = 77084978. Its totient is φ = 77084976.

The previous prime is 77084971. The next prime is 77084989. The reversal of 77084977 is 77948077.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65141041 + 11943936 = 8071^2 + 3456^2 .

It is a cyclic number.

It is not a de Polignac number, because 77084977 - 2⁷ = 77084849 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 77084977.

It is not a weakly prime, because it can be changed into another prime (77084971) 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, 38542488 + 38542489.

It is an arithmetic number, because the mean of its divisors is an integer number (38542489).

Almost surely, 2^77084977 is an apocalyptic number.

It is an amenable number.

77084977 is a deficient number, since it is larger than the sum of its proper divisors (1).

77084977 is an equidigital number, since it uses as much as digits as its factorization.

77084977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 49.

The square root of 77084977 is about 8779.8050661732. The cubic root of 77084977 is about 425.5885308903.

The spelling of 77084977 in words is "seventy-seven million, eighty-four thousand, nine hundred seventy-seven".