811824816 has 160 divisors (see below), whose sum is σ = 2348349696. Its totient is φ = 241612800.

The previous prime is 811824779. The next prime is 811824857. The reversal of 811824816 is 618428118.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6197071 + ... + 6197201.

Almost surely, 2^811824816 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 811824816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174174848).

811824816 is an abundant number, since it is smaller than the sum of its proper divisors (1536524880).

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

811824816 is a wasteful number, since it uses less digits than its factorization.

811824816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 811824816 is about 28492.5396551448. The cubic root of 811824816 is about 932.8692425163.

The spelling of 811824816 in words is "eight hundred eleven million, eight hundred twenty-four thousand, eight hundred sixteen".