811627712 has 112 divisors (see below), whose sum is σ = 1959498240. Its totient is φ = 325804032.

The previous prime is 811627699. The next prime is 811627717. The reversal of 811627712 is 217726118.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (811627717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825173 + ... + 826155.

It is an arithmetic number, because the mean of its divisors is an integer number (17495520).

Almost surely, 2^811627712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979749120).

811627712 is an abundant number, since it is smaller than the sum of its proper divisors (1147870528).

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

811627712 is a wasteful number, since it uses less digits than its factorization.

811627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its digits is 9408, while the sum is 35.

The square root of 811627712 is about 28489.0805748448. The cubic root of 811627712 is about 932.7937388943.

The spelling of 811627712 in words is "eight hundred eleven million, six hundred twenty-seven thousand, seven hundred twelve".