876013061000 has 512 divisors, whose sum is σ = 2618260070400. Its totient is φ = 266428800000.

The previous prime is 876013060973. The next prime is 876013061101. The reversal of 876013061000 is 160310678.

876013061000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×876013061000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685992362 + ... + 685993638.

It is an arithmetic number, because the mean of its divisors is an integer number (5113789200).

Almost surely, 2^876013061000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876013061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309130035200).

876013061000 is an abundant number, since it is smaller than the sum of its proper divisors (1742247009400).

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

876013061000 is a wasteful number, since it uses less digits than its factorization.

876013061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 876013061000 its reverse (160310678), we get a palindrome (876173371678).

The spelling of 876013061000 in words is "eight hundred seventy-six billion, thirteen million, sixty-one thousand".