766279972667 has 8 divisors (see below), whose sum is σ = 835970306880. Its totient is φ = 696594391560.

The previous prime is 766279972643. The next prime is 766279972691.

766279972667 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (766279972643) and next prime (766279972691).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-766279972667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766279972594 and 766279972603.

It is not an unprimeable number, because it can be changed into a prime (766279972567) 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 7 ways as a sum of consecutive naturals, for example, 846917 + ... + 1499942.

It is an arithmetic number, because the mean of its divisors is an integer number (104496288360).

Almost surely, 2^766279972667 is an apocalyptic number.

766279972667 is a deficient number, since it is larger than the sum of its proper divisors (69690334213).

766279972667 is a wasteful number, since it uses less digits than its factorization.

766279972667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376553.

The product of its digits is 1008189504, while the sum is 74.

The spelling of 766279972667 in words is "seven hundred sixty-six billion, two hundred seventy-nine million, nine hundred seventy-two thousand, six hundred sixty-seven".