813008000 has 384 divisors, whose sum is σ = 2530485360. Its totient is φ = 258048000.

The previous prime is 813007997. The next prime is 813008047. The reversal of 813008000 is 800318.

It can be written as a sum of positive squares in 8 ways, for example, as 529984 + 812478016 = 728^2 + 28504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13327970 + ... + 13328030.

Almost surely, 2^813008000 is an apocalyptic number.

813008000 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 813008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265242680).

813008000 is an abundant number, since it is smaller than the sum of its proper divisors (1717477360).

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

813008000 is a wasteful number, since it uses less digits than its factorization.

813008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 813008000 is about 28513.2951445462. The cubic root of 813008000 is about 933.3222220899.

Adding to 813008000 its reverse (800318), we get a palindrome (813808318).

The spelling of 813008000 in words is "eight hundred thirteen million, eight thousand".