812092320 has 432 divisors, whose sum is σ = 3107849472. Its totient is φ = 192890880.

The previous prime is 812092301. The next prime is 812092331. The reversal of 812092320 is 23290218.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11437885 + ... + 11437955.

It is an arithmetic number, because the mean of its divisors is an integer number (7194096).

Almost surely, 2^812092320 is an apocalyptic number.

812092320 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 812092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553924736).

812092320 is an abundant number, since it is smaller than the sum of its proper divisors (2295757152).

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

812092320 is a wasteful number, since it uses less digits than its factorization.

812092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 812092320 is about 28497.2335499431. The cubic root of 812092320 is about 932.9716943608.

The spelling of 812092320 in words is "eight hundred twelve million, ninety-two thousand, three hundred twenty".