873723840 has 448 divisors, whose sum is σ = 3328708608. Its totient is φ = 191692800.

The previous prime is 873723833. The next prime is 873723841. The reversal of 873723840 is 48327378.

873723840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 873723792 and 873723801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873723841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5565042 + ... + 5565198.

Almost surely, 2^873723840 is an apocalyptic number.

873723840 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 873723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664354304).

873723840 is an abundant number, since it is smaller than the sum of its proper divisors (2454984768).

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

873723840 is a wasteful number, since it uses less digits than its factorization.

873723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 873723840 is about 29558.8200035116. The cubic root of 873723840 is about 956.0003734760. Note that the first 3 decimals are identical.

The spelling of 873723840 in words is "eight hundred seventy-three million, seven hundred twenty-three thousand, eight hundred forty".