811827744 has 384 divisors, whose sum is σ = 2840463360. Its totient is φ = 197074944.

The previous prime is 811827733. The next prime is 811827847. The reversal of 811827744 is 447728118.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 811827696 and 811827705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11120892 + ... + 11120964.

It is an arithmetic number, because the mean of its divisors is an integer number (7397040).

Almost surely, 2^811827744 is an apocalyptic number.

811827744 is a gapful number since it is divisible by the number (84) 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 811827744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420231680).

811827744 is an abundant number, since it is smaller than the sum of its proper divisors (2028635616).

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

811827744 is a wasteful number, since it uses less digits than its factorization.

811827744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 811827744 is about 28492.5910369696. The cubic root of 811827744 is about 932.8703640382.

The spelling of 811827744 in words is "eight hundred eleven million, eight hundred twenty-seven thousand, seven hundred forty-four".