878474131680 has 192 divisors, whose sum is σ = 2819339949888. Its totient is φ = 229886361600.

The previous prime is 878474131679. The next prime is 878474131681. The reversal of 878474131680 is 86131474878.

It is an interprime number because it is at equal distance from previous prime (878474131679) and next prime (878474131681).

It is a self number, because there is not a number n which added to its sum of digits gives 878474131680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878474131681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5398062 + ... + 5558418.

It is an arithmetic number, because the mean of its divisors is an integer number (14684062239).

Almost surely, 2^878474131680 is an apocalyptic number.

878474131680 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 878474131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409669974944).

878474131680 is an abundant number, since it is smaller than the sum of its proper divisors (1940865818208).

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

878474131680 is a wasteful number, since it uses less digits than its factorization.

878474131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160589 (or 160581 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 878474131680 in words is "eight hundred seventy-eight billion, four hundred seventy-four million, one hundred thirty-one thousand, six hundred eighty".