811022000 has 160 divisors (see below), whose sum is σ = 2060058624. Its totient is φ = 308448000.

The previous prime is 811021999. The next prime is 811022071. The reversal of 811022000 is 220118.

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, 6385937 + ... + 6386063.

Almost surely, 2^811022000 is an apocalyptic number.

811022000 is a gapful number since it is divisible by the number (80) 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 811022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030029312).

811022000 is an abundant number, since it is smaller than the sum of its proper divisors (1249036624).

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

811022000 is a wasteful number, since it uses less digits than its factorization.

811022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 811022000 is about 28478.4479914198. The cubic root of 811022000 is about 932.5616353637.

Adding to 811022000 its reverse (220118), we get a palindrome (811242118).

The spelling of 811022000 in words is "eight hundred eleven million, twenty-two thousand".