873887564800 has 132 divisors (see below), whose sum is σ = 2172239717760. Its totient is φ = 348577669120.

The previous prime is 873887564791. The next prime is 873887564843. The reversal of 873887564800 is 8465788378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142857 + ... + 9237943.

Almost surely, 2^873887564800 is an apocalyptic number.

873887564800 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 873887564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086119858880).

873887564800 is an abundant number, since it is smaller than the sum of its proper divisors (1298352152960).

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

873887564800 is a wasteful number, since it uses less digits than its factorization.

873887564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95476 (or 95453 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 873887564800 in words is "eight hundred seventy-three billion, eight hundred eighty-seven million, five hundred sixty-four thousand, eight hundred".