8008320 has 128 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 2064384.

The previous prime is 8008313. The next prime is 8008327. The reversal of 8008320 is 238008.

It is an interprime number because it is at equal distance from previous prime (8008313) and next prime (8008327).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8008327) 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, 82512 + ... + 82608.

Almost surely, 2^8008320 is an apocalyptic number.

8008320 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 8008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720).

8008320 is an abundant number, since it is smaller than the sum of its proper divisors (18381120).

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

8008320 is a wasteful number, since it uses less digits than its factorization.

8008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8008320 is about 2829.8975246464. The cubic root of 8008320 is about 200.0693093117.

The spelling of 8008320 in words is "eight million, eight thousand, three hundred twenty".