867798897768 has 192 divisors, whose sum is σ = 2650699509120. Its totient is φ = 254166336000.

The previous prime is 867798897739. The next prime is 867798897769.

867798897768 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (867798897769) 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, 4326846 + ... + 4522962.

It is an arithmetic number, because the mean of its divisors is an integer number (13805726610).

Almost surely, 2^867798897768 is an apocalyptic number.

867798897768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867798897768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325349754560).

867798897768 is an abundant number, since it is smaller than the sum of its proper divisors (1782900611352).

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

867798897768 is a wasteful number, since it uses less digits than its factorization.

867798897768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196328 (or 196321 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 90.

The spelling of 867798897768 in words is "eight hundred sixty-seven billion, seven hundred ninety-eight million, eight hundred ninety-seven thousand, seven hundred sixty-eight".