872813773800 has 576 divisors, whose sum is σ = 3019186759680. Its totient is φ = 225908766720.

The previous prime is 872813773789. The next prime is 872813773801. The reversal of 872813773800 is 8377318278.

It is a happy number.

872813773800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (872813773801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2978886454 + ... + 2978886746.

It is an arithmetic number, because the mean of its divisors is an integer number (5241643680).

Almost surely, 2^872813773800 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 872813773800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509593379840).

872813773800 is an abundant number, since it is smaller than the sum of its proper divisors (2146372985880).

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

872813773800 is a wasteful number, since it uses less digits than its factorization.

872813773800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 872813773800 in words is "eight hundred seventy-two billion, eight hundred thirteen million, seven hundred seventy-three thousand, eight hundred".