77577713 has 2 divisors, whose sum is σ = 77577714. Its totient is φ = 77577712.

The previous prime is 77577677. The next prime is 77577733. The reversal of 77577713 is 31777577.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48762289 + 28815424 = 6983^2 + 5368^2 .

It is a cyclic number.

It is not a de Polignac number, because 77577713 - 2⁶ = 77577649 is a prime.

It is not a weakly prime, because it can be changed into another prime (77577733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38788856 + 38788857.

It is an arithmetic number, because the mean of its divisors is an integer number (38788857).

Almost surely, 2^77577713 is an apocalyptic number.

It is an amenable number.

77577713 is a deficient number, since it is larger than the sum of its proper divisors (1).

77577713 is an equidigital number, since it uses as much as digits as its factorization.

77577713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252105, while the sum is 44.

The square root of 77577713 is about 8807.8211267032. The cubic root of 77577713 is about 426.4934091331.

The spelling of 77577713 in words is "seventy-seven million, five hundred seventy-seven thousand, seven hundred thirteen".