77854701617 has 16 divisors (see below), whose sum is σ = 97076356224. Its totient is φ = 60659280000.

The previous prime is 77854701539. The next prime is 77854701623. The reversal of 77854701617 is 71610745877.

It is not a de Polignac number, because 77854701617 - 2¹⁰ = 77854700593 is a prime.

It is a super-2 number, since 2×77854701617² (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 (77854701817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711317 + ... + 813437.

It is an arithmetic number, because the mean of its divisors is an integer number (6067272264).

Almost surely, 2^77854701617 is an apocalyptic number.

77854701617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77854701617 is a deficient number, since it is larger than the sum of its proper divisors (19221654607).

77854701617 is a wasteful number, since it uses less digits than its factorization.

77854701617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112040.

The product of its (nonzero) digits is 2304960, while the sum is 53.

The spelling of 77854701617 in words is "seventy-seven billion, eight hundred fifty-four million, seven hundred one thousand, six hundred seventeen".