811727104 has 36 divisors (see below), whose sum is σ = 1633106944. Its totient is φ = 402651648.

The previous prime is 811727099. The next prime is 811727129. The reversal of 811727104 is 401727118.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20029 + ... + 44995.

Almost surely, 2^811727104 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 811727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816553472).

811727104 is an abundant number, since it is smaller than the sum of its proper divisors (821379840).

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

811727104 is a wasteful number, since it uses less digits than its factorization.

811727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25110 (or 25096 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 811727104 is about 28490.8249090826. The cubic root of 811727104 is about 932.8318140075.

The spelling of 811727104 in words is "eight hundred eleven million, seven hundred twenty-seven thousand, one hundred four".