876643286400 has 576 divisors, whose sum is σ = 3597830602080. Its totient is φ = 199092142080.

The previous prime is 876643286381. The next prime is 876643286401. The reversal of 876643286400 is 4682346678.

876643286400 is a `hidden beast` number, since 8 + 76 + 64 + 32 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876643286401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31637352 + ... + 31665048.

Almost surely, 2^876643286400 is an apocalyptic number.

876643286400 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 876643286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798915301040).

876643286400 is an abundant number, since it is smaller than the sum of its proper divisors (2721187315680).

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

876643286400 is a wasteful number, since it uses less digits than its factorization.

876643286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27891 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 876643286400 in words is "eight hundred seventy-six billion, six hundred forty-three million, two hundred eighty-six thousand, four hundred".