7777677103679 has 32 divisors (see below), whose sum is σ = 9436956281856. Its totient is φ = 6265764933120.

The previous prime is 7777677103657. The next prime is 7777677103687. The reversal of 7777677103679 is 9763017767777.

It is a de Polignac number, because none of the positive numbers 2^k-7777677103679 is a prime.

It is a super-2 number, since 2×7777677103679² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7777677103699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9189824 + ... + 10000410.

It is an arithmetic number, because the mean of its divisors is an integer number (294904883808).

Almost surely, 2^{7777677103679} is an apocalyptic number.

7777677103679 is a deficient number, since it is larger than the sum of its proper divisors (1659279178177).

7777677103679 is a wasteful number, since it uses less digits than its factorization.

7777677103679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811655.

The product of its (nonzero) digits is 800483796, while the sum is 74.

The spelling of 7777677103679 in words is "seven trillion, seven hundred seventy-seven billion, six hundred seventy-seven million, one hundred three thousand, six hundred seventy-nine".