77241193929 has 9 divisors (see below), whose sum is σ = 111571817799. Its totient is φ = 51493573440.

The previous prime is 77241193903. The next prime is 77241193933. The reversal of 77241193929 is 92939114277.

It is a happy number.

The square root of 77241193929 is 277923.

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

77241193929 is a `hidden beast` number, since 7 + 7 + 241 + 1 + 9 + 392 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76492624329 + 748569600 = 276573^2 + 27360^2 .

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

It is not a de Polignac number, because 77241193929 - 2⁹ = 77241193417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77241693929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 787449 + ... + 880089.

Almost surely, 2^77241193929 is an apocalyptic number.

77241193929 is the 277923-rd square number.

77241193929 is the 138962-nd centered octagonal number.

It is an amenable number.

77241193929 is a deficient number, since it is larger than the sum of its proper divisors (34330623870).

77241193929 is an frugal number, since it uses more digits than its factorization.

77241193929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185288 (or 92644 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 77241193929 in words is "seventy-seven billion, two hundred forty-one million, one hundred ninety-three thousand, nine hundred twenty-nine".