876223377828864 has 1584 divisors, whose sum is σ = 2994500020535296. Its totient is φ = 245009940480000.

The previous prime is 876223377828707. The next prime is 876223377828893. The reversal of 876223377828864 is 468828773322678.

876223377828864 is a `hidden beast` number, since 8 + 76 + 2 + 2 + 337 + 7 + 82 + 88 + 64 = 666.

876223377828864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 806093263329 + ... + 806093264415.

Almost surely, 2^{876223377828864} 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 876223377828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497250010267648).

876223377828864 is an abundant number, since it is smaller than the sum of its proper divisors (2118276642706432).

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

876223377828864 is a wasteful number, since it uses less digits than its factorization.

876223377828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1904 counting only the distinct ones).

The product of its digits is 14566293504, while the sum is 81.

The spelling of 876223377828864 in words is "eight hundred seventy-six trillion, two hundred twenty-three billion, three hundred seventy-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".