8398800 has 90 divisors (see below), whose sum is σ = 29158662. Its totient is φ = 2238720.

The previous prime is 8398787. The next prime is 8398801. The reversal of 8398800 is 88938.

It can be written as a sum of positive squares in 3 ways, for example, as 242064 + 8156736 = 492^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8398801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2434 + ... + 4766.

Almost surely, 2^8398800 is an apocalyptic number.

8398800 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 8398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579331).

8398800 is an abundant number, since it is smaller than the sum of its proper divisors (20759862).

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

8398800 is a wasteful number, since it uses less digits than its factorization.

8398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8398800 is about 2898.0683221760. The cubic root of 8398800 is about 203.2695909367.

The spelling of 8398800 in words is "eight million, three hundred ninety-eight thousand, eight hundred".