812705920 has 256 divisors, whose sum is σ = 2270177280. Its totient is φ = 275742720.

The previous prime is 812705917. The next prime is 812705921. The reversal of 812705920 is 29507218.

It is not an unprimeable number, because it can be changed into a prime (812705921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5932092 + ... + 5932228.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2^812705920 is an apocalyptic number.

812705920 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 812705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135088640).

812705920 is an abundant number, since it is smaller than the sum of its proper divisors (1457471360).

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

812705920 is a wasteful number, since it uses less digits than its factorization.

812705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 812705920 is about 28507.9974743930. The cubic root of 812705920 is about 933.2066131813.

The spelling of 812705920 in words is "eight hundred twelve million, seven hundred five thousand, nine hundred twenty".