873744768 has 192 divisors, whose sum is σ = 2775689280. Its totient is φ = 262103040.

The previous prime is 873744761. The next prime is 873744779. The reversal of 873744768 is 867447378.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873744761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613305 + ... + 614727.

It is an arithmetic number, because the mean of its divisors is an integer number (14456715).

Almost surely, 2^873744768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387844640).

873744768 is an abundant number, since it is smaller than the sum of its proper divisors (1901944512).

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

873744768 is a wasteful number, since it uses less digits than its factorization.

873744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 873744768 is about 29559.1740074042. The cubic root of 873744768 is about 956.0080063287.

The spelling of 873744768 in words is "eight hundred seventy-three million, seven hundred forty-four thousand, seven hundred sixty-eight".