812080800 has 324 divisors, whose sum is σ = 2979805374. Its totient is φ = 208051200.

The previous prime is 812080741. The next prime is 812080813. The reversal of 812080800 is 8080218.

It can be written as a sum of positive squares in 3 ways, for example, as 364504464 + 447576336 = 19092^2 + 21156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13312770 + ... + 13312830.

Almost surely, 2^812080800 is an apocalyptic number.

812080800 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 812080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489902687).

812080800 is an abundant number, since it is smaller than the sum of its proper divisors (2167724574).

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

812080800 is a wasteful number, since it uses less digits than its factorization.

812080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 812080800 is about 28497.0314243431. The cubic root of 812080800 is about 932.9672827587.

The spelling of 812080800 in words is "eight hundred twelve million, eighty thousand, eight hundred".