811051200 has 252 divisors, whose sum is σ = 2909537488. Its totient is φ = 214272000.

The previous prime is 811051151. The next prime is 811051201. The reversal of 811051200 is 2150118.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (811051201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2174214 + ... + 2174586.

Almost surely, 2^811051200 is an apocalyptic number.

811051200 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 811051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454768744).

811051200 is an abundant number, since it is smaller than the sum of its proper divisors (2098486288).

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

811051200 is a wasteful number, since it uses less digits than its factorization.

811051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 811051200 is about 28478.9606551925. The cubic root of 811051200 is about 932.5728271986.

The spelling of 811051200 in words is "eight hundred eleven million, fifty-one thousand, two hundred".