8978320 has 80 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 3244032.

The previous prime is 8978311. The next prime is 8978323. The reversal of 8978320 is 238798.

8978320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1752976 + 7225344 = 1324^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×8978320³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8978320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8978323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92512 + ... + 92608.

It is an arithmetic number, because the mean of its divisors is an integer number (287091).

Almost surely, 2^8978320 is an apocalyptic number.

8978320 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 8978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

8978320 is an abundant number, since it is smaller than the sum of its proper divisors (13988960).

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

8978320 is a wasteful number, since it uses less digits than its factorization.

8978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 8978320 is about 2996.3844880122. The cubic root of 8978320 is about 207.8412249851.

The spelling of 8978320 in words is "eight million, nine hundred seventy-eight thousand, three hundred twenty".