876680064 has 384 divisors, whose sum is σ = 2986560000. Its totient is φ = 252315648.

The previous prime is 876680053. The next prime is 876680099. The reversal of 876680064 is 460086678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097177 + ... + 11097255.

It is an arithmetic number, because the mean of its divisors is an integer number (7777500).

Almost surely, 2^876680064 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 876680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493280000).

876680064 is an abundant number, since it is smaller than the sum of its proper divisors (2109879936).

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

876680064 is a wasteful number, since it uses less digits than its factorization.

876680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 876680064 is about 29608.7835616393. The cubic root of 876680064 is about 957.0773613035.

The spelling of 876680064 in words is "eight hundred seventy-six million, six hundred eighty thousand, sixty-four".