8282880 has 108 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 2205696.

The previous prime is 8282873. The next prime is 8282887. The reversal of 8282880 is 882828.

It is an interprime number because it is at equal distance from previous prime (8282873) and next prime (8282887).

It is a super-2 number, since 2×8282880² = 137212202188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11161 + ... + 11879.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^8282880 is an apocalyptic number.

8282880 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 8282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

8282880 is an abundant number, since it is smaller than the sum of its proper divisors (20414880).

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

8282880 is a wasteful number, since it uses less digits than its factorization.

8282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8282880 is about 2877.9993050729. Note that the first 3 decimals coincide. The cubic root of 8282880 is about 202.3300815119.

The spelling of 8282880 in words is "eight million, two hundred eighty-two thousand, eight hundred eighty".