876687966675360 has 1440 divisors, whose sum is σ = 3756615253776000. Its totient is φ = 191621613883392.

The previous prime is 876687966675349. The next prime is 876687966675379. The reversal of 876687966675360 is 63576669786678.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×876687966675360² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83502039391 + ... + 83502049889.

It is an arithmetic number, because the mean of its divisors is an integer number (2608760592900).

Almost surely, 2^{876687966675360} is an apocalyptic number.

876687966675360 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 876687966675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878307626888000).

876687966675360 is an abundant number, since it is smaller than the sum of its proper divisors (2879927287100640).

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

876687966675360 is a wasteful number, since it uses less digits than its factorization.

876687966675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 138265989120, while the sum is 90.

The spelling of 876687966675360 in words is "eight hundred seventy-six trillion, six hundred eighty-seven billion, nine hundred sixty-six million, six hundred seventy-five thousand, three hundred sixty".