878428526976 has 1024 divisors, whose sum is σ = 3593679667200. Its totient is φ = 203793408000.

The previous prime is 878428526933. The next prime is 878428526977. The reversal of 878428526976 is 679625824878.

878428526976 is a `hidden beast` number, since 8 + 7 + 8 + 4 + 2 + 8 + 526 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878428526977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107239041 + ... + 107247231.

It is an arithmetic number, because the mean of its divisors is an integer number (3509452800).

Almost surely, 2^878428526976 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 878428526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796839833600).

878428526976 is an abundant number, since it is smaller than the sum of its proper divisors (2715251140224).

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

878428526976 is a wasteful number, since it uses less digits than its factorization.

878428526976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8258 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 878428526976 in words is "eight hundred seventy-eight billion, four hundred twenty-eight million, five hundred twenty-six thousand, nine hundred seventy-six".