873825732 has 240 divisors, whose sum is σ = 2646705600. Its totient is φ = 249143040.

The previous prime is 873825727. The next prime is 873825769. The reversal of 873825732 is 237528378.

873825732 is a `hidden beast` number, since 8 + 73 + 8 + 2 + 573 + 2 = 666.

Its product of digits (564480) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4881619 + ... + 4881797.

It is an arithmetic number, because the mean of its divisors is an integer number (11027940).

Almost surely, 2^873825732 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 873825732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323352800).

873825732 is an abundant number, since it is smaller than the sum of its proper divisors (1772879868).

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

873825732 is a wasteful number, since it uses less digits than its factorization.

873825732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 873825732 is about 29560.5434997396. The cubic root of 873825732 is about 956.0375343421.

The spelling of 873825732 in words is "eight hundred seventy-three million, eight hundred twenty-five thousand, seven hundred thirty-two".