79765456797 has 48 divisors (see below), whose sum is σ = 133939128960. Its totient is φ = 45333154944.

The previous prime is 79765456763. The next prime is 79765456829.

It is a happy number.

79765456797 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 54 + 567 + 9 + 7 = 666.

79765456797 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 79765456797 - 2⁸ = 79765456541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79765446797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433023 + ... + 589100.

It is an arithmetic number, because the mean of its divisors is an integer number (2790398520).

Almost surely, 2^79765456797 is an apocalyptic number.

It is an amenable number.

79765456797 is a deficient number, since it is larger than the sum of its proper divisors (54173672163).

79765456797 is a wasteful number, since it uses less digits than its factorization.

79765456797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022194 (or 1022191 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 79765456797 in words is "seventy-nine billion, seven hundred sixty-five million, four hundred fifty-six thousand, seven hundred ninety-seven".