811623120 has 320 divisors, whose sum is σ = 3224365056. Its totient is φ = 163952640.

The previous prime is 811623107. The next prime is 811623143. The reversal of 811623120 is 21326118.

It is a Cunningham number, because it is equal to 28489²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683167 + ... + 684353.

Almost surely, 2^811623120 is an apocalyptic number.

811623120 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 811623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612182528).

811623120 is an abundant number, since it is smaller than the sum of its proper divisors (2412741936).

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

811623120 is a wasteful number, since it uses less digits than its factorization.

811623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 811623120 is about 28488.9999824494. Note that the first 4 decimals coincide. The cubic root of 811623120 is about 932.7919797146.

Adding to 811623120 its reverse (21326118), we get a palindrome (832949238).

The spelling of 811623120 in words is "eight hundred eleven million, six hundred twenty-three thousand, one hundred twenty".