876306936960 has 2560 divisors, whose sum is σ = 4180087296000. Its totient is φ = 173234847744.

The previous prime is 876306936931. The next prime is 876306937013. The reversal of 876306936960 is 69639603678.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3929627409 + ... + 3929627631.

It is an arithmetic number, because the mean of its divisors is an integer number (1632846600).

Almost surely, 2^876306936960 is an apocalyptic number.

876306936960 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 876306936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090043648000).

876306936960 is an abundant number, since it is smaller than the sum of its proper divisors (3303780359040).

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

876306936960 is a wasteful number, since it uses less digits than its factorization.

876306936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 876306936960 in words is "eight hundred seventy-six billion, three hundred six million, nine hundred thirty-six thousand, nine hundred sixty".