766772277667 has 8 divisors (see below), whose sum is σ = 836486876160. Its totient is φ = 697059017160.

The previous prime is 766772277653. The next prime is 766772277743.

It is a happy number.

766772277667 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 766772277667 - 2¹⁵ = 766772244899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766772277596 and 766772277605.

It is not an unprimeable number, because it can be changed into a prime (766772277767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150378 + ... + 1690240.

It is an arithmetic number, because the mean of its divisors is an integer number (104560859520).

Almost surely, 2^766772277667 is an apocalyptic number.

766772277667 is a deficient number, since it is larger than the sum of its proper divisors (69714598493).

766772277667 is a wasteful number, since it uses less digits than its factorization.

766772277667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668993.

The product of its digits is 609892416, while the sum is 70.

The spelling of 766772277667 in words is "seven hundred sixty-six billion, seven hundred seventy-two million, two hundred seventy-seven thousand, six hundred sixty-seven".