811380680 has 64 divisors (see below), whose sum is σ = 2009318400. Its totient is φ = 292418560.

The previous prime is 811380673. The next prime is 811380697. The reversal of 811380680 is 86083118.

It is a happy number.

811380680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 811380680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41561 + ... + 57879.

It is an arithmetic number, because the mean of its divisors is an integer number (31395600).

Almost surely, 2^811380680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

811380680 is an abundant number, since it is smaller than the sum of its proper divisors (1197937720).

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

811380680 is a wasteful number, since it uses less digits than its factorization.

811380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16454 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 811380680 is about 28484.7446890436. The cubic root of 811380680 is about 932.6990923457.

The spelling of 811380680 in words is "eight hundred eleven million, three hundred eighty thousand, six hundred eighty".