811008090 has 24 divisors (see below), whose sum is σ = 2108621268. Its totient is φ = 216268800.

The previous prime is 811008071. The next prime is 811008091. The reversal of 811008090 is 90800118.

It can be written as a sum of positive squares in 2 ways, for example, as 761263281 + 49744809 = 27591^2 + 7053^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (811008091) 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 11 ways as a sum of consecutive naturals, for example, 4505511 + ... + 4505690.

Almost surely, 2^811008090 is an apocalyptic number.

811008090 is an abundant number, since it is smaller than the sum of its proper divisors (1297613178).

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

811008090 is a wasteful number, since it uses less digits than its factorization.

811008090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011214 (or 9011211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 811008090 is about 28478.2037706032. The cubic root of 811008090 is about 932.5563038164.

The spelling of 811008090 in words is "eight hundred eleven million, eight thousand, ninety".