8793120 has 96 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 2009088.

The previous prime is 8793101. The next prime is 8793121. The reversal of 8793120 is 213978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8793121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (329868).

Almost surely, 2^8793120 is an apocalyptic number.

8793120 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 8793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

8793120 is an abundant number, since it is smaller than the sum of its proper divisors (22874208).

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

8793120 is a wasteful number, since it uses less digits than its factorization.

8793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8793120 is about 2965.3195443324. The cubic root of 8793120 is about 206.4022053727.

The spelling of 8793120 in words is "eight million, seven hundred ninety-three thousand, one hundred twenty".