876793438080 has 512 divisors, whose sum is σ = 3576081484800. Its totient is φ = 198876487680.

The previous prime is 876793438043. The next prime is 876793438133. The reversal of 876793438080 is 80834397678.

876793438080 is a `hidden beast` number, since 8 + 76 + 79 + 343 + 80 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 876793437999 and 876793438017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15818094 + ... + 15873426.

It is an arithmetic number, because the mean of its divisors is an integer number (6984534150).

Almost surely, 2^876793438080 is an apocalyptic number.

876793438080 is a gapful number since it is divisible by the number (80) 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 876793438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788040742400).

876793438080 is an abundant number, since it is smaller than the sum of its proper divisors (2699288046720).

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

876793438080 is a wasteful number, since it uses less digits than its factorization.

876793438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55499 (or 55481 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 876793438080 in words is "eight hundred seventy-six billion, seven hundred ninety-three million, four hundred thirty-eight thousand, eighty".