8420800 has 84 divisors (see below), whose sum is σ = 21889720. Its totient is φ = 3179520.

The previous prime is 8420773. The next prime is 8420801. The reversal of 8420800 is 80248.

8420800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8420801) 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, 30262 + ... + 30538.

Almost surely, 2^8420800 is an apocalyptic number.

8420800 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 8420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944860).

8420800 is an abundant number, since it is smaller than the sum of its proper divisors (13468920).

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

8420800 is a wasteful number, since it uses less digits than its factorization.

8420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8420800 is about 2901.8614715386. The cubic root of 8420800 is about 203.4469191283.

The spelling of 8420800 in words is "eight million, four hundred twenty thousand, eight hundred".