813680 has 40 divisors (see below), whose sum is σ = 2163552. Its totient is φ = 278784.

The previous prime is 813677. The next prime is 813697. The reversal of 813680 is 86318.

813680 = T₅₆₈ + T₅₆₉ + ... + T₅₇₂.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 1286.

2⁸¹³⁶⁸⁰ is an apocalyptic number.

813680 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 813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081776).

813680 is an abundant number, since it is smaller than the sum of its proper divisors (1349872).

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

813680 is a wasteful number, since it uses less digits than its factorization.

813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 813680 is about 902.0421276193. The cubic root of 813680 is about 93.3579300253.

Adding to 813680 its reverse (86318), we get a palindrome (899998).

The spelling of 813680 in words is "eight hundred thirteen thousand, six hundred eighty".