811362240 has 252 divisors, whose sum is σ = 3023747064. Its totient is φ = 199600128.

The previous prime is 811362229. The next prime is 811362259. The reversal of 811362240 is 42263118.

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 35 ways as a sum of consecutive naturals, for example, 485887 + ... + 487553.

Almost surely, 2^811362240 is an apocalyptic number.

811362240 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 811362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511873532).

811362240 is an abundant number, since it is smaller than the sum of its proper divisors (2212384824).

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

811362240 is a wasteful number, since it uses less digits than its factorization.

811362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 811362240 is about 28484.4210051740. The cubic root of 811362240 is about 932.6920265700.

The spelling of 811362240 in words is "eight hundred eleven million, three hundred sixty-two thousand, two hundred forty".