873360000 has 240 divisors, whose sum is σ = 3143064210. Its totient is φ = 232704000.

The previous prime is 873359987. The next prime is 873360041. The reversal of 873360000 is 63378.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 28643904 + 844716096 = 5352^2 + 29064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719394 + ... + 720606.

Almost surely, 2^873360000 is an apocalyptic number.

873360000 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 873360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571532105).

873360000 is an abundant number, since it is smaller than the sum of its proper divisors (2269704210).

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

873360000 is a wasteful number, since it uses less digits than its factorization.

873360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 873360000 is about 29552.6648544594. The cubic root of 873360000 is about 955.8676543975.

The spelling of 873360000 in words is "eight hundred seventy-three million, three hundred sixty thousand".