811966320 has 240 divisors, whose sum is σ = 2998281312. Its totient is φ = 195287040.

The previous prime is 811966279. The next prime is 811966333. The reversal of 811966320 is 23669118.

811966320 is a `hidden beast` number, since 8 + 1 + 19 + 6 + 632 + 0 = 666.

811966320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243114 + ... + 1243766.

Almost surely, 2^811966320 is an apocalyptic number.

811966320 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 811966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499140656).

811966320 is an abundant number, since it is smaller than the sum of its proper divisors (2186314992).

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

811966320 is a wasteful number, since it uses less digits than its factorization.

811966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 811966320 is about 28495.0227232757. The cubic root of 811966320 is about 932.9234401945.

The spelling of 811966320 in words is "eight hundred eleven million, nine hundred sixty-six thousand, three hundred twenty".