873439820 has 48 divisors (see below), whose sum is σ = 2006726400. Its totient is φ = 316701120.

The previous prime is 873439783. The next prime is 873439829. The reversal of 873439820 is 28934378.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (873439829) 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 15 ways as a sum of consecutive naturals, for example, 73451 + ... + 84509.

It is an arithmetic number, because the mean of its divisors is an integer number (41806800).

Almost surely, 2^873439820 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 873439820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003363200).

873439820 is an abundant number, since it is smaller than the sum of its proper divisors (1133286580).

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

873439820 is a wasteful number, since it uses less digits than its factorization.

873439820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 873439820 is about 29554.0152940341. The cubic root of 873439820 is about 955.8967737495.

The spelling of 873439820 in words is "eight hundred seventy-three million, four hundred thirty-nine thousand, eight hundred twenty".