813302000 has 240 divisors, whose sum is σ = 2352965472. Its totient is φ = 270950400.

The previous prime is 813301999. The next prime is 813302003. The reversal of 813302000 is 203318.

It is a super-2 number, since 2×813302000² = 1322920286408000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813302000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813302003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4213904 + ... + 4214096.

Almost surely, 2^813302000 is an apocalyptic number.

813302000 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 813302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176482736).

813302000 is an abundant number, since it is smaller than the sum of its proper divisors (1539663472).

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

813302000 is a wasteful number, since it uses less digits than its factorization.

813302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 813302000 is about 28518.4501682683. The cubic root of 813302000 is about 933.4347112102.

Adding to 813302000 its reverse (203318), we get a palindrome (813505318).

The spelling of 813302000 in words is "eight hundred thirteen million, three hundred two thousand".