805416 has 32 divisors (see below), whose sum is σ = 2070240. Its totient is φ = 260928.

The previous prime is 805403. The next prime is 805421. The reversal of 805416 is 614508.

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

It is an unprimeable number.

805416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (64695).

2⁸⁰⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035120).

805416 is an abundant number, since it is smaller than the sum of its proper divisors (1264824).

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

805416 is a wasteful number, since it uses less digits than its factorization.

805416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 805416 is about 897.4497200401. The cubic root of 805416 is about 93.0407960684.

It can be divided in two parts, 805 and 416, that added together give a palindrome (1221).

The spelling of 805416 in words is "eight hundred five thousand, four hundred sixteen".