812776272 has 160 divisors (see below), whose sum is σ = 2708398080. Its totient is φ = 203804160.

The previous prime is 812776207. The next prime is 812776291. The reversal of 812776272 is 272677218.

812776272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103393 + ... + 110975.

It is an arithmetic number, because the mean of its divisors is an integer number (16927488).

Almost surely, 2^812776272 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 812776272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354199040).

812776272 is an abundant number, since it is smaller than the sum of its proper divisors (1895621808).

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

812776272 is a wasteful number, since it uses less digits than its factorization.

812776272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 812776272 is about 28509.2313470567. The cubic root of 812776272 is about 933.2335401240.

The spelling of 812776272 in words is "eight hundred twelve million, seven hundred seventy-six thousand, two hundred seventy-two".