813667680 has 240 divisors, whose sum is σ = 3282158880. Its totient is φ = 185960448.

The previous prime is 813667667. The next prime is 813667681. The reversal of 813667680 is 86766318.

813667680 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813667681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86236 + ... + 95204.

It is an arithmetic number, because the mean of its divisors is an integer number (13675662).

Almost surely, 2^813667680 is an apocalyptic number.

813667680 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 813667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641079440).

813667680 is an abundant number, since it is smaller than the sum of its proper divisors (2468491200).

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

813667680 is a wasteful number, since it uses less digits than its factorization.

813667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 813667680 is about 28524.8607358564. The cubic root of 813667680 is about 933.5745884268.

The spelling of 813667680 in words is "eight hundred thirteen million, six hundred sixty-seven thousand, six hundred eighty".