815200 has 36 divisors (see below), whose sum is σ = 1992060. Its totient is φ = 325760.

The previous prime is 815197. The next prime is 815209. The reversal of 815200 is 2518.

815200 = T₁₅₅ + T₁₅₆ + ... + T₂₀₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2⁸¹⁵²⁰⁰ is an apocalyptic number.

815200 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 815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996030).

815200 is an abundant number, since it is smaller than the sum of its proper divisors (1176860).

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

815200 is a wasteful number, since it uses less digits than its factorization.

815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 815200 is about 902.8842672237. The cubic root of 815200 is about 93.4160264856.

Adding to 815200 its reverse (2518), we get a palindrome (817718).

The spelling of 815200 in words is "eight hundred fifteen thousand, two hundred".