815272200 has 108 divisors (see below), whose sum is σ = 2742030135. Its totient is φ = 217082880.

The previous prime is 815272187. The next prime is 815272201. The reversal of 815272200 is 2272518.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 165328164 + 649944036 = 12858^2 + 25494^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20190.

It is not an unprimeable number, because it can be changed into a prime (815272201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1211064 + ... + 1211736.

Almost surely, 2^815272200 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 815272200

815272200 is an abundant number, since it is smaller than the sum of its proper divisors (1926757935).

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

815272200 is a wasteful number, since it uses less digits than its factorization.

815272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 815272200 is about 28552.9718243128. The cubic root of 815272200 is about 934.1878427023.

The spelling of 815272200 in words is "eight hundred fifteen million, two hundred seventy-two thousand, two hundred".