873825768 has 144 divisors (see below), whose sum is σ = 2493244260. Its totient is φ = 276410880.

The previous prime is 873825727. The next prime is 873825769. The reversal of 873825768 is 867528378.

It can be written as a sum of positive squares in 2 ways, for example, as 809857764 + 63968004 = 28458^2 + 7998^2 .

Its product of digits (4515840) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873825769) 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 35 ways as a sum of consecutive naturals, for example, 5050930 + ... + 5051102.

Almost surely, 2^873825768 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 873825768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246622130).

873825768 is an abundant number, since it is smaller than the sum of its proper divisors (1619418492).

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

873825768 is a wasteful number, since it uses less digits than its factorization.

873825768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 282 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 873825768 is about 29560.5441086594. The cubic root of 873825768 is about 956.0375474711.

The spelling of 873825768 in words is "eight hundred seventy-three million, eight hundred twenty-five thousand, seven hundred sixty-eight".