80805120 has 144 divisors (see below), whose sum is σ = 281679552. Its totient is φ = 19578880.

The previous prime is 80805113. The next prime is 80805133. The reversal of 80805120 is 2150808.

It is a super-3 number, since 3×80805120³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41284 + ... + 43196.

It is an arithmetic number, because the mean of its divisors is an integer number (1956108).

Almost surely, 2^80805120 is an apocalyptic number.

80805120 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 80805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140839776).

80805120 is an abundant number, since it is smaller than the sum of its proper divisors (200874432).

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

80805120 is a wasteful number, since it uses less digits than its factorization.

80805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 80805120 is about 8989.1668134483. The cubic root of 80805120 is about 432.3275978753.

Adding to 80805120 its reverse (2150808), we get a palindrome (82955928).

The spelling of 80805120 in words is "eighty million, eight hundred five thousand, one hundred twenty".