873210240 has 256 divisors, whose sum is σ = 3534912000. Its totient is φ = 199563264.

The previous prime is 873210223. The next prime is 873210241. The reversal of 873210240 is 42012378.

It is a super-2 number, since 2×873210240² = 1524992246481715200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873210241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117351 + ... + 124569.

It is an arithmetic number, because the mean of its divisors is an integer number (13808250).

Almost surely, 2^873210240 is an apocalyptic number.

873210240 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 873210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767456000).

873210240 is an abundant number, since it is smaller than the sum of its proper divisors (2661701760).

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

873210240 is a wasteful number, since it uses less digits than its factorization.

873210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 873210240 is about 29550.1309641768. The cubic root of 873210240 is about 955.8130152556.

The spelling of 873210240 in words is "eight hundred seventy-three million, two hundred ten thousand, two hundred forty".