77077313 has 2 divisors, whose sum is σ = 77077314. Its totient is φ = 77077312.

The previous prime is 77077289. The next prime is 77077333. The reversal of 77077313 is 31377077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61340224 + 15737089 = 7832^2 + 3967^2 .

It is a cyclic number.

It is not a de Polignac number, because 77077313 - 2⁸ = 77077057 is a prime.

It is not a weakly prime, because it can be changed into another prime (77077333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38538656 + 38538657.

It is an arithmetic number, because the mean of its divisors is an integer number (38538657).

Almost surely, 2^77077313 is an apocalyptic number.

It is an amenable number.

77077313 is a deficient number, since it is larger than the sum of its proper divisors (1).

77077313 is an equidigital number, since it uses as much as digits as its factorization.

77077313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21609, while the sum is 35.

The square root of 77077313 is about 8779.3685991647. The cubic root of 77077313 is about 425.5744260295.

The spelling of 77077313 in words is "seventy-seven million, seventy-seven thousand, three hundred thirteen".