876801095622144 has 4320 divisors, whose sum is σ = 3556268780064000. Its totient is φ = 215102374502400.

The previous prime is 876801095622131. The next prime is 876801095622167. The reversal of 876801095622144 is 441226590108678.

It is a happy number.

876801095622144 is a `hidden beast` number, since 8 + 7 + 6 + 8 + 0 + 1 + 0 + 9 + 562 + 21 + 44 = 666.

876801095622144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×876801095622144² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2648945908059 + ... + 2648945908389.

Almost surely, 2^{876801095622144} is an apocalyptic number.

876801095622144 is a gapful number since it is divisible by the number (84) 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 876801095622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778134390032000).

876801095622144 is an abundant number, since it is smaller than the sum of its proper divisors (2679467684441856).

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

876801095622144 is an frugal number, since it uses more digits than its factorization.

876801095622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 876801095622144 in words is "eight hundred seventy-six trillion, eight hundred one billion, ninety-five million, six hundred twenty-two thousand, one hundred forty-four".