8220800 has 96 divisors (see below), whose sum is σ = 23272320. Its totient is φ = 2810880.

The previous prime is 8220799. The next prime is 8220803. The reversal of 8220800 is 80228.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220803) 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, 22217 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (242420).

Almost surely, 2^8220800 is an apocalyptic number.

8220800 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 8220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636160).

8220800 is an abundant number, since it is smaller than the sum of its proper divisors (15051520).

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

8220800 is a wasteful number, since it uses less digits than its factorization.

8220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8220800 is about 2867.1937499932. The cubic root of 8220800 is about 201.8233268813.

The spelling of 8220800 in words is "eight million, two hundred twenty thousand, eight hundred".