77664107 has 2 divisors, whose sum is σ = 77664108. Its totient is φ = 77664106.

The previous prime is 77664101. The next prime is 77664113. The reversal of 77664107 is 70146677.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (77664101) and next prime (77664113).

It is a cyclic number.

It is not a de Polignac number, because 77664107 - 2¹⁶ = 77598571 is a prime.

It is a super-2 number, since 2×77664107² = 12063427032214898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77664101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38832053 + 38832054.

It is an arithmetic number, because the mean of its divisors is an integer number (38832054).

Almost surely, 2^77664107 is an apocalyptic number.

77664107 is a deficient number, since it is larger than the sum of its proper divisors (1).

77664107 is an equidigital number, since it uses as much as digits as its factorization.

77664107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 77664107 is about 8812.7241531776. The cubic root of 77664107 is about 426.6516710903.

The spelling of 77664107 in words is "seventy-seven million, six hundred sixty-four thousand, one hundred seven".