8117280 has 96 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 2163456.

The previous prime is 8117267. The next prime is 8117297. The reversal of 8117280 is 827118.

8117280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3381 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (296100).

Almost surely, 2^8117280 is an apocalyptic number.

8117280 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 8117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

8117280 is an abundant number, since it is smaller than the sum of its proper divisors (20308320).

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

8117280 is a wasteful number, since it uses less digits than its factorization.

8117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8117280 is about 2849.0840633439. The cubic root of 8117280 is about 200.9725959521.

The spelling of 8117280 in words is "eight million, one hundred seventeen thousand, two hundred eighty".