812272320 has 224 divisors, whose sum is σ = 2936687040. Its totient is φ = 211230720.

The previous prime is 812272303. The next prime is 812272333. The reversal of 812272320 is 23272218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353094 + ... + 355386.

It is an arithmetic number, because the mean of its divisors is an integer number (13110210).

Almost surely, 2^812272320 is an apocalyptic number.

812272320 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 812272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468343520).

812272320 is an abundant number, since it is smaller than the sum of its proper divisors (2124414720).

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

812272320 is a wasteful number, since it uses less digits than its factorization.

812272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 812272320 is about 28500.3915762573. The cubic root of 812272320 is about 933.0406202267.

The spelling of 812272320 in words is "eight hundred twelve million, two hundred seventy-two thousand, three hundred twenty".