809920 has 28 divisors (see below), whose sum is σ = 1929384. Its totient is φ = 323840.
The previous prime is 809917. The next prime is 809929. The reversal of 809920 is 29908.
It is a happy number.
809920 is nontrivially palindromic in base 7.
It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (809929) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946 + ... + 1585.
2809920 is an apocalyptic number.
809920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
809920 is an abundant number, since it is smaller than the sum of its proper divisors (1119464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
809920 is a wasteful number, since it uses less digits than its factorization.
809920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2548 (or 2538 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 28.
The square root of 809920 is about 899.9555544581. The cubic root of 809920 is about 93.2139062060.
It can be divided in two parts, 80 and 9920, that added together give a 4-th power (10000 = 104).
The spelling of 809920 in words is "eight hundred nine thousand, nine hundred twenty".
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