8202880 has 64 divisors (see below), whose sum is σ = 22423680. Its totient is φ = 2810880.

The previous prime is 8202871. The next prime is 8202893. The reversal of 8202880 is 882028.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3565 + ... + 5395.

It is an arithmetic number, because the mean of its divisors is an integer number (350370).

Almost surely, 2^8202880 is an apocalyptic number.

8202880 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 8202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211840).

8202880 is an abundant number, since it is smaller than the sum of its proper divisors (14220800).

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

8202880 is a wasteful number, since it uses less digits than its factorization.

8202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8202880 is about 2864.0670383216. The cubic root of 8202880 is about 201.6765729108.

The spelling of 8202880 in words is "eight million, two hundred two thousand, eight hundred eighty".