77777777777 has 8 divisors (see below), whose sum is σ = 88893168000. Its totient is φ = 66663457344.

The previous prime is 77777777767. The next prime is 77777777827.

77777777777 is nontrivially palindromic in base 10.

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 77777777777 - 2⁴ = 77777777761 is a prime.

It is a nude number because it is divisible by every one of its digits.

77777777777 is a modest number, since divided by 777777 gives 77777 as remainder.

77777777777 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77777777698 and 77777777707.

It is not an unprimeable number, because it can be changed into a prime (77777777717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105077 + ... + 408162.

It is an arithmetic number, because the mean of its divisors is an integer number (11111646000).

Almost surely, 2^77777777777 is an apocalyptic number.

It is an amenable number.

77777777777 is a deficient number, since it is larger than the sum of its proper divisors (11115390223).

77777777777 is a wasteful number, since it uses less digits than its factorization.

77777777777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534895.

The product of its digits is 1977326743, while the sum is 77.

The spelling of 77777777777 in words is "seventy-seven billion, seven hundred seventy-seven million, seven hundred seventy-seven thousand, seven hundred seventy-seven".