805920 has 96 divisors (see below), whose sum is σ = 2685312. Its totient is φ = 202752.

The previous prime is 805913. The next prime is 805933. The reversal of 805920 is 29508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 805920.

It is an unprimeable number.

805920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11004 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2⁸⁰⁵⁹²⁰ is an apocalyptic number.

805920 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 805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342656).

805920 is an abundant number, since it is smaller than the sum of its proper divisors (1879392).

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

805920 is a wasteful number, since it uses less digits than its factorization.

805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 805920 is about 897.7304718010. The cubic root of 805920 is about 93.0601992023.

The spelling of 805920 in words is "eight hundred five thousand, nine hundred twenty".