867977779768 has 16 divisors (see below), whose sum is σ = 1775409095160. Its totient is φ = 394535354400.

The previous prime is 867977779763. The next prime is 867977779777.

It is a happy number.

867977779768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88), and also a Moran number because the ratio is a prime number: 9863383861 = 867977779768 / (8 + 6 + 7 + 9 + 7 + 7 + 7 + 7 + 9 + 7 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867977779763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4931691843 + ... + 4931692018.

Almost surely, 2^867977779768 is an apocalyptic number.

867977779768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867977779768 is an abundant number, since it is smaller than the sum of its proper divisors (907431315392).

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

867977779768 is a wasteful number, since it uses less digits than its factorization.

867977779768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863383878 (or 9863383874 counting only the distinct ones).

The product of its digits is 21956126976, while the sum is 88.

The spelling of 867977779768 in words is "eight hundred sixty-seven billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, seven hundred sixty-eight".