811680 has 96 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 202752.

The previous prime is 811667. The next prime is 811691. The reversal of 811680 is 86118.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 811680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9076 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁸¹¹⁶⁸⁰ is an apocalyptic number.

811680 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 811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

811680 is an abundant number, since it is smaller than the sum of its proper divisors (1909920).

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

811680 is a wasteful number, since it uses less digits than its factorization.

811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 811680 is about 900.9328498839. The cubic root of 811680 is about 93.2813769782.

Adding to 811680 its reverse (86118), we get a palindrome (897798).

The spelling of 811680 in words is "eight hundred eleven thousand, six hundred eighty".