815250200 has 72 divisors (see below), whose sum is σ = 1929774180. Its totient is φ = 320299200.

The previous prime is 815250197. The next prime is 815250209. The reversal of 815250200 is 2052518.

815250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815250209) 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, 695615 + ... + 696785.

Almost surely, 2^815250200 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 815250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964887090).

815250200 is an abundant number, since it is smaller than the sum of its proper divisors (1114523980).

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

815250200 is a wasteful number, since it uses less digits than its factorization.

815250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 815250200 is about 28552.5865728484. The cubic root of 815250200 is about 934.1794396530.

The spelling of 815250200 in words is "eight hundred fifteen million, two hundred fifty thousand, two hundred".