873283320 has 768 divisors, whose sum is σ = 3899750400. Its totient is φ = 164229120.

The previous prime is 873283309. The next prime is 873283331. The reversal of 873283320 is 23382378.

873283320 is a `hidden beast` number, since 8 + 7 + 328 + 3 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (873283309) and next prime (873283331).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14316090 + ... + 14316150.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^873283320 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 873283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

873283320 is an abundant number, since it is smaller than the sum of its proper divisors (3026467080).

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

873283320 is a wasteful number, since it uses less digits than its factorization.

873283320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 873283320 is about 29551.3674810490. The cubic root of 873283320 is about 955.8396788865.

The spelling of 873283320 in words is "eight hundred seventy-three million, two hundred eighty-three thousand, three hundred twenty".