876514882560 has 704 divisors, whose sum is σ = 3126898944000. Its totient is φ = 208539353088.

The previous prime is 876514882553. The next prime is 876514882571. The reversal of 876514882560 is 65288415678.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 876514882494 and 876514882503.

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, 449724466 + ... + 449726414.

Almost surely, 2^876514882560 is an apocalyptic number.

876514882560 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 876514882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563449472000).

876514882560 is an abundant number, since it is smaller than the sum of its proper divisors (2250384061440).

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

876514882560 is a wasteful number, since it uses less digits than its factorization.

876514882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 876514882560 in words is "eight hundred seventy-six billion, five hundred fourteen million, eight hundred eighty-two thousand, five hundred sixty".