811354320 has 400 divisors, whose sum is σ = 3330167808. Its totient is φ = 179159040.

The previous prime is 811354309. The next prime is 811354337. The reversal of 811354320 is 23453118.

It is a happy number.

811354320 is a `hidden beast` number, since 8 + 113 + 543 + 2 + 0 = 666.

It is a super-3 number, since 3×811354320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1405872 + ... + 1406448.

Almost surely, 2^811354320 is an apocalyptic number.

811354320 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 811354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665083904).

811354320 is an abundant number, since it is smaller than the sum of its proper divisors (2518813488).

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

811354320 is a wasteful number, since it uses less digits than its factorization.

811354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 811354320 is about 28484.2819814718. The cubic root of 811354320 is about 932.6889917788.

The spelling of 811354320 in words is "eight hundred eleven million, three hundred fifty-four thousand, three hundred twenty".