8282800 has 30 divisors (see below), whose sum is σ = 19900388. Its totient is φ = 3312960.

The previous prime is 8282773. The next prime is 8282809. The reversal of 8282800 is 82828.

It is not an unprimeable number, because it can be changed into a prime (8282809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9954 + ... + 10753.

Almost surely, 2^8282800 is an apocalyptic number.

8282800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8282800 is an abundant number, since it is smaller than the sum of its proper divisors (11617588).

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

8282800 is a wasteful number, since it uses less digits than its factorization.

8282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20714 counting only the distinct ones).

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

The square root of 8282800 is about 2877.9854064953. The cubic root of 8282800 is about 202.3294301097.

Adding to 8282800 its sum of digits (28), we get a palindrome (8282828).

Multiplying 8282800 by its reverse (82828), we get a square (686047758400 = 828280²).

8282800 divided by its reverse (82828) gives a square (100 = 10²).

The spelling of 8282800 in words is "eight million, two hundred eighty-two thousand, eight hundred".