76705007346017 has 8 divisors (see below), whose sum is σ = 76794890565120. Its totient is φ = 76615155008640.

The previous prime is 76705007345963. The next prime is 76705007346061. The reversal of 76705007346017 is 71064370050767.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76705007346017 - 2¹⁰ = 76705007344993 is a prime.

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 76705007346017.

It is not an unprimeable number, because it can be changed into a prime (76705007346217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2747984 + ... + 12687057.

It is an arithmetic number, because the mean of its divisors is an integer number (9599361320640).

Almost surely, 2^{76705007346017} is an apocalyptic number.

It is an amenable number.

76705007346017 is a deficient number, since it is larger than the sum of its proper divisors (89883219103).

76705007346017 is a wasteful number, since it uses less digits than its factorization.

76705007346017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440863.

The product of its (nonzero) digits is 5186160, while the sum is 53.

The spelling of 76705007346017 in words is "seventy-six trillion, seven hundred five billion, seven million, three hundred forty-six thousand, seventeen".