811304208 has 320 divisors, whose sum is σ = 2859816960. Its totient is φ = 216691200.

The previous prime is 811304201. The next prime is 811304287. The reversal of 811304208 is 802403118.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (811304201) 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 63 ways as a sum of consecutive naturals, for example, 1420563 + ... + 1421133.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^811304208 is an apocalyptic number.

811304208 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 811304208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

811304208 is an abundant number, since it is smaller than the sum of its proper divisors (2048512752).

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

811304208 is a wasteful number, since it uses less digits than its factorization.

811304208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 811304208 is about 28483.4023248628. The cubic root of 811304208 is about 932.6697893696.

The spelling of 811304208 in words is "eight hundred eleven million, three hundred four thousand, two hundred eight".