876786768000 has 3072 divisors, whose sum is σ = 4086812620800. Its totient is φ = 183638016000.

The previous prime is 876786767977. The next prime is 876786768001. The reversal of 876786768000 is 867687678.

It is not an unprimeable number, because it can be changed into a prime (876786768001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10563695959 + ... + 10563696041.

It is an arithmetic number, because the mean of its divisors is an integer number (1330342650).

Almost surely, 2^876786768000 is an apocalyptic number.

876786768000 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 876786768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043406310400).

876786768000 is an abundant number, since it is smaller than the sum of its proper divisors (3210025852800).

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

876786768000 is a wasteful number, since it uses less digits than its factorization.

876786768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 876786768000 in words is "eight hundred seventy-six billion, seven hundred eighty-six million, seven hundred sixty-eight thousand".