77958233724817 has 16 divisors (see below), whose sum is σ = 83697171927120. Its totient is φ = 72347963000832.

The previous prime is 77958233724803. The next prime is 77958233724911. The reversal of 77958233724817 is 71842733285977.

It is a Cunningham number, because it is equal to 8829396²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 8874059692096 + 69084174032721 = 2978936^2 + 8311689^2 .

It is a cyclic number.

It is not a de Polignac number, because 77958233724817 - 2⁷ = 77958233724689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77958233724817.

It is not an unprimeable number, because it can be changed into a prime (77958233724317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3781342 + ... + 13046647.

It is an arithmetic number, because the mean of its divisors is an integer number (5231073245445).

Almost surely, 2^{77958233724817} is an apocalyptic number.

It is an amenable number.

77958233724817 is a deficient number, since it is larger than the sum of its proper divisors (5738938202303).

77958233724817 is a wasteful number, since it uses less digits than its factorization.

77958233724817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16831812.

The product of its digits is 995742720, while the sum is 73.

The spelling of 77958233724817 in words is "seventy-seven trillion, nine hundred fifty-eight billion, two hundred thirty-three million, seven hundred twenty-four thousand, eight hundred seventeen".