76838541617 has 8 divisors (see below), whose sum is σ = 80252808000. Its totient is φ = 73494672624.

The previous prime is 76838541583. The next prime is 76838541631. The reversal of 76838541617 is 71614583867.

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 76838541617 - 2¹⁰ = 76838540593 is a prime.

It is a super-2 number, since 2×76838541617² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76838541697) 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, 17597117 + ... + 17601482.

It is an arithmetic number, because the mean of its divisors is an integer number (10031601000).

Almost surely, 2^76838541617 is an apocalyptic number.

It is an amenable number.

76838541617 is a deficient number, since it is larger than the sum of its proper divisors (3414266383).

76838541617 is a wasteful number, since it uses less digits than its factorization.

76838541617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35198695.

The product of its digits is 6773760, while the sum is 56.

The spelling of 76838541617 in words is "seventy-six billion, eight hundred thirty-eight million, five hundred forty-one thousand, six hundred seventeen".