876944072004 has 288 divisors, whose sum is σ = 2960908546176. Its totient is φ = 197887979520.

The previous prime is 876944071963. The next prime is 876944072023. The reversal of 876944072004 is 400270449678.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 1122682 + ... + 1736174.

It is an arithmetic number, because the mean of its divisors is an integer number (10280932452).

Almost surely, 2^876944072004 is an apocalyptic number.

876944072004 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 876944072004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480454273088).

876944072004 is an abundant number, since it is smaller than the sum of its proper divisors (2083964474172).

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

876944072004 is a wasteful number, since it uses less digits than its factorization.

876944072004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613555 (or 613546 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 876944072004 in words is "eight hundred seventy-six billion, nine hundred forty-four million, seventy-two thousand, four".