77468129 has 2 divisors, whose sum is σ = 77468130. Its totient is φ = 77468128.

The previous prime is 77468089. The next prime is 77468179. The reversal of 77468129 is 92186477.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73960000 + 3508129 = 8600^2 + 1873^2 .

It is an emirp because it is prime and its reverse (92186477) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77468129 - 2¹² = 77464033 is a prime.

It is a super-2 number, since 2×77468129² = 12002622021521282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77468129.

It is not a weakly prime, because it can be changed into another prime (77468179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38734064 + 38734065.

It is an arithmetic number, because the mean of its divisors is an integer number (38734065).

Almost surely, 2^77468129 is an apocalyptic number.

It is an amenable number.

77468129 is a deficient number, since it is larger than the sum of its proper divisors (1).

77468129 is an equidigital number, since it uses as much as digits as its factorization.

77468129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 169344, while the sum is 44.

The square root of 77468129 is about 8801.5980935282. The cubic root of 77468129 is about 426.2924971460.

The spelling of 77468129 in words is "seventy-seven million, four hundred sixty-eight thousand, one hundred twenty-nine".