8270080 has 144 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 2580480.

The previous prime is 8270077. The next prime is 8270153. The reversal of 8270080 is 800728.

8270080 is nontrivially palindromic in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116445 + ... + 116515.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 2^8270080 is an apocalyptic number.

8270080 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 8270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

8270080 is an abundant number, since it is smaller than the sum of its proper divisors (16454144).

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

8270080 is a wasteful number, since it uses less digits than its factorization.

8270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8270080 is about 2875.7746782389. The cubic root of 8270080 is about 202.2258037624.

The spelling of 8270080 in words is "eight million, two hundred seventy thousand, eighty".