873880800 has 288 divisors, whose sum is σ = 3150235872. Its totient is φ = 209018880.

The previous prime is 873880783. The next prime is 873880811. The reversal of 873880800 is 8088378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154022 + ... + 1154778.

It is an arithmetic number, because the mean of its divisors is an integer number (10938319).

Almost surely, 2^873880800 is an apocalyptic number.

873880800 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 873880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575117936).

873880800 is an abundant number, since it is smaller than the sum of its proper divisors (2276355072).

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

873880800 is a wasteful number, since it uses less digits than its factorization.

873880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 873880800 is about 29561.4749293739. The cubic root of 873880800 is about 956.0576169006.

The spelling of 873880800 in words is "eight hundred seventy-three million, eight hundred eighty thousand, eight hundred".