766875578667 has 16 divisors (see below), whose sum is σ = 1145602831872. Its totient is φ = 452211642720.

The previous prime is 766875578639. The next prime is 766875578671.

766875578667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766875578667 - 2¹⁵ = 766875545899 is a prime.

It is a super-2 number, since 2×766875578667² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766875578592 and 766875578601.

It is not an unprimeable number, because it can be changed into a prime (766875578867) 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 15 ways as a sum of consecutive naturals, for example, 314034643 + ... + 314037084.

It is an arithmetic number, because the mean of its divisors is an integer number (71600176992).

Almost surely, 2^766875578667 is an apocalyptic number.

766875578667 is a deficient number, since it is larger than the sum of its proper divisors (378727253205).

766875578667 is a wasteful number, since it uses less digits than its factorization.

766875578667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628071778.

The product of its digits is 4978713600, while the sum is 78.

The spelling of 766875578667 in words is "seven hundred sixty-six billion, eight hundred seventy-five million, five hundred seventy-eight thousand, six hundred sixty-seven".