812903328 has 144 divisors (see below), whose sum is σ = 2417216256. Its totient is φ = 258831360.

The previous prime is 812903327. The next prime is 812903381. The reversal of 812903328 is 823309218.

It is a happy number.

812903328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 812903292 and 812903301.

It is not an unprimeable number, because it can be changed into a prime (812903327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740476 + ... + 741572.

It is an arithmetic number, because the mean of its divisors is an integer number (16786224).

Almost surely, 2^812903328 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 812903328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208608128).

812903328 is an abundant number, since it is smaller than the sum of its proper divisors (1604312928).

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

812903328 is a wasteful number, since it uses less digits than its factorization.

812903328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 812903328 is about 28511.4595908382. The cubic root of 812903328 is about 933.2821663560.

The spelling of 812903328 in words is "eight hundred twelve million, nine hundred three thousand, three hundred twenty-eight".