811543040 has 320 divisors, whose sum is σ = 2545551360. Its totient is φ = 240599040.

The previous prime is 811543037. The next prime is 811543091. The reversal of 811543040 is 40345118.

It is a tau number, because it is divible by the number of its divisors (320).

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, 4533671 + ... + 4533849.

It is an arithmetic number, because the mean of its divisors is an integer number (7954848).

Almost surely, 2^811543040 is an apocalyptic number.

811543040 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 811543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272775680).

811543040 is an abundant number, since it is smaller than the sum of its proper divisors (1734008320).

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

811543040 is a wasteful number, since it uses less digits than its factorization.

811543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 811543040 is about 28487.5944930421. The cubic root of 811543040 is about 932.7613002705.

Adding to 811543040 its reverse (40345118), we get a palindrome (851888158).

The spelling of 811543040 in words is "eight hundred eleven million, five hundred forty-three thousand, forty".