893797320 has 128 divisors (see below), whose sum is σ = 2901225600. Its totient is φ = 218978304.

The previous prime is 893797309. The next prime is 893797349. The reversal of 893797320 is 23797398.

It is a super-3 number, since 3×893797320³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 893797320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 362251 + ... + 364709.

It is an arithmetic number, because the mean of its divisors is an integer number (22665825).

Almost surely, 2^893797320 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 893797320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450612800).

893797320 is an abundant number, since it is smaller than the sum of its proper divisors (2007428280).

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

893797320 is a wasteful number, since it uses less digits than its factorization.

893797320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 893797320 is about 29896.4432667165. The cubic root of 893797320 is about 963.2662615654.

The spelling of 893797320 in words is "eight hundred ninety-three million, seven hundred ninety-seven thousand, three hundred twenty".