8075520 has 108 divisors (see below), whose sum is σ = 27980316. Its totient is φ = 2150400.

The previous prime is 8075519. The next prime is 8075521. The reversal of 8075520 is 255708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8075519) and next prime (8075521).

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 2985984 = 2256^2 + 1728^2 .

It is not an unprimeable number, because it can be changed into a prime (8075521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11170 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (259077).

Almost surely, 2^8075520 is an apocalyptic number.

8075520 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 8075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990158).

8075520 is an abundant number, since it is smaller than the sum of its proper divisors (19904796).

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

8075520 is a wasteful number, since it uses less digits than its factorization.

8075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8075520 is about 2841.7459421982. The cubic root of 8075520 is about 200.6273633518.

The spelling of 8075520 in words is "eight million, seventy-five thousand, five hundred twenty".