862776677268 has 144 divisors (see below), whose sum is σ = 2385462223872. Its totient is φ = 260757288000.

The previous prime is 862776677263. The next prime is 862776677353.

862776677268 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×862776677268² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 862776677196 and 862776677205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862776677263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461130373 + ... + 461132243.

It is an arithmetic number, because the mean of its divisors is an integer number (16565709888).

Almost surely, 2^862776677268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 862776677268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192731111936).

862776677268 is an abundant number, since it is smaller than the sum of its proper divisors (1522685546604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

862776677268 is a wasteful number, since it uses less digits than its factorization.

862776677268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4341 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 862776677268 in words is "eight hundred sixty-two billion, seven hundred seventy-six million, six hundred seventy-seven thousand, two hundred sixty-eight".