812773632 has 288 divisors, whose sum is σ = 2543063040. Its totient is φ = 227983360.

The previous prime is 812773571. The next prime is 812773639. The reversal of 812773632 is 236377218.

Its product of digits (84672) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (812773639) by changing a digit.

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, 9132244 + ... + 9132332.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2^812773632 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 812773632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271531520).

812773632 is an abundant number, since it is smaller than the sum of its proper divisors (1730289408).

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

812773632 is a wasteful number, since it uses less digits than its factorization.

812773632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 812773632 is about 28509.1850462268. The cubic root of 812773632 is about 933.2325297028.

The spelling of 812773632 in words is "eight hundred twelve million, seven hundred seventy-three thousand, six hundred thirty-two".