876680084005824 has 224 divisors, whose sum is σ = 2713338605824000. Its totient is φ = 244584929369088.

The previous prime is 876680084005823. The next prime is 876680084005909. The reversal of 876680084005824 is 428500480086678.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876680084005823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200046507 + ... + 204381909.

It is an arithmetic number, because the mean of its divisors is an integer number (12113118776000).

Almost surely, 2^{876680084005824} is an apocalyptic number.

876680084005824 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 876680084005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356669302912000).

876680084005824 is an abundant number, since it is smaller than the sum of its proper divisors (1836658521818176).

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

876680084005824 is a wasteful number, since it uses less digits than its factorization.

876680084005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338967 (or 4338957 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 66.

The spelling of 876680084005824 in words is "eight hundred seventy-six trillion, six hundred eighty billion, eighty-four million, five thousand, eight hundred twenty-four".