860778067968 has 1152 divisors, whose sum is σ = 3225376627200. Its totient is φ = 223303827456.

The previous prime is 860778067907. The next prime is 860778067991. The reversal of 860778067968 is 869760877068.

860778067968 is a `hidden beast` number, since 8 + 607 + 7 + 8 + 0 + 6 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 860778067896 and 860778067905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3758856078 + ... + 3758856306.

It is an arithmetic number, because the mean of its divisors is an integer number (2799806100).

Almost surely, 2^860778067968 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 860778067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612688313600).

860778067968 is an abundant number, since it is smaller than the sum of its proper divisors (2364598559232).

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

860778067968 is a wasteful number, since it uses less digits than its factorization.

860778067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 860778067968 in words is "eight hundred sixty billion, seven hundred seventy-eight million, sixty-seven thousand, nine hundred sixty-eight".