812831040 has 336 divisors, whose sum is σ = 3336023808. Its totient is φ = 177610752.

The previous prime is 812831011. The next prime is 812831057. The reversal of 812831040 is 40138218.

812831040 is a nontrivial binomial coefficient, being equal to C(40320, 2).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 812830995 and 812831013.

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 47 ways as a sum of consecutive naturals, for example, 462804 + ... + 464556.

Almost surely, 2^812831040 is an apocalyptic number.

812831040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

812831040 is the 40319-th triangular number and also the 20160-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668011904).

812831040 is an abundant number, since it is smaller than the sum of its proper divisors (2523192768).

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

812831040 is a wasteful number, since it uses less digits than its factorization.

812831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 812831040 is about 28510.1918618588. The cubic root of 812831040 is about 933.2545012783.

Adding to 812831040 its reverse (40138218), we get a palindrome (852969258).

The spelling of 812831040 in words is "eight hundred twelve million, eight hundred thirty-one thousand, forty".