873861120 has 312 divisors, whose sum is σ = 3312047232. Its totient is φ = 211353600.

The previous prime is 873861119. The next prime is 873861133. The reversal of 873861120 is 21168378.

873861120 is a `hidden beast` number, since 8 + 7 + 38 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027305 + ... + 2027735.

It is an arithmetic number, because the mean of its divisors is an integer number (10615536).

Almost surely, 2^873861120 is an apocalyptic number.

873861120 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 873861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656023616).

873861120 is an abundant number, since it is smaller than the sum of its proper divisors (2438186112).

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

873861120 is a wasteful number, since it uses less digits than its factorization.

873861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 873861120 is about 29561.1420618352. The cubic root of 873861120 is about 956.0504399663.

The spelling of 873861120 in words is "eight hundred seventy-three million, eight hundred sixty-one thousand, one hundred twenty".