813602900 has 72 divisors (see below), whose sum is σ = 1967124096. Its totient is φ = 289542400.

The previous prime is 813602899. The next prime is 813602921. The reversal of 813602900 is 9206318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43832 + ... + 59568.

It is an arithmetic number, because the mean of its divisors is an integer number (27321168).

Almost surely, 2^813602900 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 813602900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983562048).

813602900 is an abundant number, since it is smaller than the sum of its proper divisors (1153521196).

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

813602900 is a wasteful number, since it uses less digits than its factorization.

813602900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15809 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 813602900 is about 28523.7252125314. The cubic root of 813602900 is about 933.5498123139.

The spelling of 813602900 in words is "eight hundred thirteen million, six hundred two thousand, nine hundred".