873328320 has 168 divisors, whose sum is σ = 3017922336. Its totient is φ = 231800832.

The previous prime is 873328303. The next prime is 873328349. The reversal of 873328320 is 23823378.

873328320 is a `hidden beast` number, since 8 + 7 + 3 + 328 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756864 + ... + 758016.

Almost surely, 2^873328320 is an apocalyptic number.

873328320 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 873328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508961168).

873328320 is an abundant number, since it is smaller than the sum of its proper divisors (2144594016).

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

873328320 is a wasteful number, since it uses less digits than its factorization.

873328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

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

The square root of 873328320 is about 29552.1288573260. The cubic root of 873328320 is about 955.8560966384.

The spelling of 873328320 in words is "eight hundred seventy-three million, three hundred twenty-eight thousand, three hundred twenty".