8056320 has 80 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 2146304.

The previous prime is 8056313. The next prime is 8056327. The reversal of 8056320 is 236508.

It is an interprime number because it is at equal distance from previous prime (8056313) and next prime (8056327).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8056327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7156 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^8056320 is an apocalyptic number.

8056320 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 8056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

8056320 is an abundant number, since it is smaller than the sum of its proper divisors (17723280).

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

8056320 is a wasteful number, since it uses less digits than its factorization.

8056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8056320 is about 2838.3657269633. The cubic root of 8056320 is about 200.4682362519.

The spelling of 8056320 in words is "eight million, fifty-six thousand, three hundred twenty".