873468000 has 288 divisors, whose sum is σ = 3265647840. Its totient is φ = 220492800.

The previous prime is 873467999. The next prime is 873468091. The reversal of 873468000 is 864378.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 683362 + ... + 684638.

It is an arithmetic number, because the mean of its divisors is an integer number (11339055).

Almost surely, 2^873468000 is an apocalyptic number.

873468000 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 873468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632823920).

873468000 is an abundant number, since it is smaller than the sum of its proper divisors (2392179840).

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

873468000 is a wasteful number, since it uses less digits than its factorization.

873468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 873468000 is about 29554.4920443577. The cubic root of 873468000 is about 955.9070537485.

The spelling of 873468000 in words is "eight hundred seventy-three million, four hundred sixty-eight thousand".