867780113760 has 432 divisors, whose sum is σ = 3459138594912. Its totient is φ = 197522841600.

The previous prime is 867780113701. The next prime is 867780113813. The reversal of 867780113760 is 67311087768.

It is a junction number, because it is equal to n+sod(n) for n = 867780113697 and 867780113706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16979445 + ... + 17030475.

It is an arithmetic number, because the mean of its divisors is an integer number (8007265266).

Almost surely, 2^867780113760 is an apocalyptic number.

867780113760 is a gapful number since it is divisible by the number (80) 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 867780113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729569297456).

867780113760 is an abundant number, since it is smaller than the sum of its proper divisors (2591358481152).

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

867780113760 is a wasteful number, since it uses less digits than its factorization.

867780113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51307 (or 51289 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 867780113760 in words is "eight hundred sixty-seven billion, seven hundred eighty million, one hundred thirteen thousand, seven hundred sixty".