77806129 has 2 divisors, whose sum is σ = 77806130. Its totient is φ = 77806128.

The previous prime is 77806117. The next prime is 77806133. The reversal of 77806129 is 92160877.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68442529 + 9363600 = 8273^2 + 3060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77806129 is a prime.

It is equal to p_4548865 and since 77806129 and 4548865 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 77806091 and 77806100.

It is not a weakly prime, because it can be changed into another prime (77806189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38903064 + 38903065.

It is an arithmetic number, because the mean of its divisors is an integer number (38903065).

Almost surely, 2^77806129 is an apocalyptic number.

It is an amenable number.

77806129 is a deficient number, since it is larger than the sum of its proper divisors (1).

77806129 is an equidigital number, since it uses as much as digits as its factorization.

77806129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 77806129 is about 8820.7782536463. The cubic root of 77806129 is about 426.9115810539.

The spelling of 77806129 in words is "seventy-seven million, eight hundred six thousand, one hundred twenty-nine".