77842674009 has 9 divisors (see below), whose sum is σ = 112440627039. Its totient is φ = 51894558000.

The previous prime is 77842673963. The next prime is 77842674053. The reversal of 77842674009 is 90047624877.

The square root of 77842674009 is 279003.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66256304409 + 11586369600 = 257403^2 + 107640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 77842674009 - 2⁹ = 77842673497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77842674079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 790509 + ... + 883509.

Almost surely, 2^77842674009 is an apocalyptic number.

77842674009 is the 279003-rd square number.

77842674009 is the 139502-nd centered octagonal number.

It is an amenable number.

77842674009 is a deficient number, since it is larger than the sum of its proper divisors (34597953030).

77842674009 is an frugal number, since it uses more digits than its factorization.

77842674009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186008 (or 93004 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77842674009 in words is "seventy-seven billion, eight hundred forty-two million, six hundred seventy-four thousand, nine".