778313 has 2 divisors, whose sum is σ = 778314. Its totient is φ = 778312.

The previous prime is 778307. The next prime is 778319. The reversal of 778313 is 313877.

It is a balanced prime because it is at equal distance from previous prime (778307) and next prime (778319).

It can be written as a sum of positive squares in only one way, i.e., 595984 + 182329 = 772^2 + 427^2 .

It is a cyclic number.

It is not a de Polignac number, because 778313 - 2¹² = 774217 is a prime.

It is a super-2 number, since 2×778313² = 1211542251938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (778319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 389156 + 389157.

It is an arithmetic number, because the mean of its divisors is an integer number (389157).

2⁷⁷⁸³¹³ is an apocalyptic number.

It is an amenable number.

778313 is a deficient number, since it is larger than the sum of its proper divisors (1).

778313 is an equidigital number, since it uses as much as digits as its factorization.

778313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 29.

The square root of 778313 is about 882.2204939810. The cubic root of 778313 is about 91.9852291976.

The spelling of 778313 in words is "seven hundred seventy-eight thousand, three hundred thirteen".