873840000 has 320 divisors, whose sum is σ = 3173734080. Its totient is φ = 211200000.

The previous prime is 873839983. The next prime is 873840007. The reversal of 873840000 is 48378.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 873840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873840007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2639835 + ... + 2640165.

It is an arithmetic number, because the mean of its divisors is an integer number (9917919).

Almost surely, 2^873840000 is an apocalyptic number.

873840000 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 873840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586867040).

873840000 is an abundant number, since it is smaller than the sum of its proper divisors (2299894080).

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

873840000 is a wasteful number, since it uses less digits than its factorization.

873840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 873840000 is about 29560.7848339654. The cubic root of 873840000 is about 956.0427377707.

Adding to 873840000 its reverse (48378), we get a palindrome (873888378).

The spelling of 873840000 in words is "eight hundred seventy-three million, eight hundred forty thousand".