873180000 has 900 divisors, whose sum is σ = 4072237092. Its totient is φ = 181440000.

The previous prime is 873179971. The next prime is 873180013. The reversal of 873180000 is 81378.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 149 ways as a sum of consecutive naturals, for example, 79379995 + ... + 79380005.

Almost surely, 2^873180000 is an apocalyptic number.

873180000 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 873180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036118546).

873180000 is an abundant number, since it is smaller than the sum of its proper divisors (3199057092).

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

873180000 is a wasteful number, since it uses less digits than its factorization.

873180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 873180000 is about 29549.6192868876. The cubic root of 873180000 is about 955.8019815938.

The spelling of 873180000 in words is "eight hundred seventy-three million, one hundred eighty thousand".