812097040 has 60 divisors (see below), whose sum is σ = 1906106796. Its totient is φ = 321766144.

The previous prime is 812097029. The next prime is 812097073. The reversal of 812097040 is 40790218.

It can be written as a sum of positive squares in 2 ways, for example, as 601034256 + 211062784 = 24516^2 + 14528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 812096993 and 812097011.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 3577407 + ... + 3577633.

Almost surely, 2^812097040 is an apocalyptic number.

812097040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812097040 is an abundant number, since it is smaller than the sum of its proper divisors (1094009756).

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

812097040 is a wasteful number, since it uses less digits than its factorization.

812097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 812097040 is about 28497.3163648790. The cubic root of 812097040 is about 932.9735018802.

The spelling of 812097040 in words is "eight hundred twelve million, ninety-seven thousand, forty".