811689120 has 768 divisors, whose sum is σ = 3483648000. Its totient is φ = 174182400.

The previous prime is 811689097. The next prime is 811689127. The reversal of 811689120 is 21986118.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811689127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26183505 + ... + 26183535.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^811689120 is an apocalyptic number.

811689120 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 811689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

811689120 is an abundant number, since it is smaller than the sum of its proper divisors (2671958880).

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

811689120 is a wasteful number, since it uses less digits than its factorization.

811689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 811689120 is about 28490.1583007185. The cubic root of 811689120 is about 932.8172634539.

The spelling of 811689120 in words is "eight hundred eleven million, six hundred eighty-nine thousand, one hundred twenty".