805680 has 80 divisors (see below), whose sum is σ = 2782560. Its totient is φ = 214272.

The previous prime is 805639. The next prime is 805687. The reversal of 805680 is 86508.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (805687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (34782).

2⁸⁰⁵⁶⁸⁰ is an apocalyptic number.

805680 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 805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391280).

805680 is an abundant number, since it is smaller than the sum of its proper divisors (1976880).

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

805680 is a wasteful number, since it uses less digits than its factorization.

805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 805680 is about 897.5967914381. The cubic root of 805680 is about 93.0509606239.

It can be divided in two parts, 805 and 680, that added together give a triangular number (1485 = T₅₄).

The spelling of 805680 in words is "eight hundred five thousand, six hundred eighty".