813700008 has 96 divisors (see below), whose sum is σ = 2460126240. Its totient is φ = 240831360.

The previous prime is 813699989. The next prime is 813700021. The reversal of 813700008 is 800007318.

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, 22110 + ... + 46002.

It is an arithmetic number, because the mean of its divisors is an integer number (25626315).

Almost surely, 2^813700008 is an apocalyptic number.

813700008 is a gapful number since it is divisible by the number (88) 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 813700008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230063120).

813700008 is an abundant number, since it is smaller than the sum of its proper divisors (1646426232).

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

813700008 is a wasteful number, since it uses less digits than its factorization.

813700008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23959 (or 23952 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 813700008 is about 28525.4273938183. The cubic root of 813700008 is about 933.5869522785.

The spelling of 813700008 in words is "eight hundred thirteen million, seven hundred thousand, eight".