77509049 has 2 divisors, whose sum is σ = 77509050. Its totient is φ = 77509048.

The previous prime is 77509009. The next prime is 77509097. The reversal of 77509049 is 94090577.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64513024 + 12996025 = 8032^2 + 3605^2 .

It is a cyclic number.

It is not a de Polignac number, because 77509049 - 2²⁰ = 76460473 is a prime.

It is a super-3 number, since 3×77509049³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77508997 and 77509015.

It is not a weakly prime, because it can be changed into another prime (77509009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38754524 + 38754525.

It is an arithmetic number, because the mean of its divisors is an integer number (38754525).

Almost surely, 2^77509049 is an apocalyptic number.

It is an amenable number.

77509049 is a deficient number, since it is larger than the sum of its proper divisors (1).

77509049 is an equidigital number, since it uses as much as digits as its factorization.

77509049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 77509049 is about 8803.9223644919. The cubic root of 77509049 is about 426.3675422806.

The spelling of 77509049 in words is "seventy-seven million, five hundred nine thousand, forty-nine".