8062080 has 256 divisors, whose sum is σ = 30844800. Its totient is φ = 1769472.

The previous prime is 8062079. The next prime is 8062091. The reversal of 8062080 is 802608.

8062080 = 43² + 44² + ... + 289².

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8062080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424311 + ... + 424329.

Almost surely, 2^8062080 is an apocalyptic number.

8062080 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 8062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

8062080 is an abundant number, since it is smaller than the sum of its proper divisors (22782720).

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

8062080 is a wasteful number, since it uses less digits than its factorization.

8062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8062080 is about 2839.3802140608. The cubic root of 8062080 is about 200.5160009038.

Adding to 8062080 its reverse (802608), we get a palindrome (8864688).

The spelling of 8062080 in words is "eight million, sixty-two thousand, eighty".