7707777345 has 60 divisors (see below), whose sum is σ = 13935736980. Its totient is φ = 4075755840.

The previous prime is 7707777299. The next prime is 7707777353. The reversal of 7707777345 is 5437777077.

7707777345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1089792144 + 6617985201 = 33012^2 + 81351^2 .

It is not a de Polignac number, because 7707777345 - 2¹⁷ = 7707646273 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7707777291 and 7707777300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6949651 + ... + 6950759.

It is an arithmetic number, because the mean of its divisors is an integer number (232262283).

Almost surely, 2^7707777345 is an apocalyptic number.

It is an amenable number.

7707777345 is a deficient number, since it is larger than the sum of its proper divisors (6227959635).

7707777345 is a wasteful number, since it uses less digits than its factorization.

7707777345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 7058940, while the sum is 54.

The square root of 7707777345 is about 87793.9482253760. The cubic root of 7707777345 is about 1975.3454372011.

The spelling of 7707777345 in words is "seven billion, seven hundred seven million, seven hundred seventy-seven thousand, three hundred forty-five".