805600 has 72 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 299520.

The previous prime is 805589. The next prime is 805633. The reversal of 805600 is 6508.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15174 + ... + 15226.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁸⁰⁵⁶⁰⁰ is an apocalyptic number.

805600 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 805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054620).

805600 is an abundant number, since it is smaller than the sum of its proper divisors (1303640).

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

805600 is a wasteful number, since it uses less digits than its factorization.

805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 805600 is about 897.5522268927. The cubic root of 805600 is about 93.0478806901.

The spelling of 805600 in words is "eight hundred five thousand, six hundred".