8020320 has 288 divisors, whose sum is σ = 33094656. Its totient is φ = 1612800.

The previous prime is 8020303. The next prime is 8020333. The reversal of 8020320 is 230208.

It is a super-3 number, since 3×8020320³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8020320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258705 + ... + 258735.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 2^8020320 is an apocalyptic number.

8020320 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 8020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

8020320 is an abundant number, since it is smaller than the sum of its proper divisors (25074336).

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

8020320 is a wasteful number, since it uses less digits than its factorization.

8020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 8020320 is about 2832.0169491018. The cubic root of 8020320 is about 200.1691901664.

Subtracting from 8020320 its product of nonzero digits (96), we obtain a square (8020224 = 2832²).

Adding to 8020320 its reverse (230208), we get a palindrome (8250528).

The spelling of 8020320 in words is "eight million, twenty thousand, three hundred twenty".