766505667 has 8 divisors (see below), whose sum is σ = 1022561280. Its totient is φ = 510726920.

The previous prime is 766505651. The next prime is 766505669.

766505667 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 766505667 - 2⁴ = 766505651 is a prime.

It is a super-2 number, since 2×766505667² = 1175061875086229778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (766505669) 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, 62667 + ... + 73892.

It is an arithmetic number, because the mean of its divisors is an integer number (127820160).

Almost surely, 2^766505667 is an apocalyptic number.

766505667 is a deficient number, since it is larger than the sum of its proper divisors (256055613).

766505667 is a wasteful number, since it uses less digits than its factorization.

766505667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138433.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 766505667 is about 27685.8387447446. The cubic root of 766505667 is about 915.1770555276.

The spelling of 766505667 in words is "seven hundred sixty-six million, five hundred five thousand, six hundred sixty-seven".