8014080 has 72 divisors (see below), whose sum is σ = 25607232. Its totient is φ = 2136064.

The previous prime is 8014079. The next prime is 8014093. The reversal of 8014080 is 804108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2797 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (355656).

Almost surely, 2^8014080 is an apocalyptic number.

8014080 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 8014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803616).

8014080 is an abundant number, since it is smaller than the sum of its proper divisors (17593152).

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

8014080 is a wasteful number, since it uses less digits than its factorization.

8014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8014080 is about 2830.9150464117. The cubic root of 8014080 is about 200.1172645650.

Adding to 8014080 its reverse (804108), we get a palindrome (8818188).

The spelling of 8014080 in words is "eight million, fourteen thousand, eighty".