8193800 has 48 divisors (see below), whose sum is σ = 19435140. Its totient is φ = 3211520.

The previous prime is 8193793. The next prime is 8193803. The reversal of 8193800 is 83918.

8193800 = T₃₃₉ + T₃₄₀ + ... + T₄₄₄.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1833316 + 6360484 = 1354^2 + 2522^2 .

It is not an unprimeable number, because it can be changed into a prime (8193803) 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, 10214 + ... + 10986.

Almost surely, 2^8193800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8193800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717570).

8193800 is an abundant number, since it is smaller than the sum of its proper divisors (11241340).

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

8193800 is a wasteful number, since it uses less digits than its factorization.

8193800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 8193800 is about 2862.4814409879. The cubic root of 8193800 is about 201.6021316017.

The spelling of 8193800 in words is "eight million, one hundred ninety-three thousand, eight hundred".