80825040 has 100 divisors (see below), whose sum is σ = 280739844. Its totient is φ = 21551616.

The previous prime is 80825039. The next prime is 80825077. The reversal of 80825040 is 4052808.

80825040 is a `hidden beast` number, since 80 + 82 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 37896336 = 6552^2 + 6156^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80824995 and 80825013.

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 19 ways as a sum of consecutive naturals, for example, 244 + ... + 12716.

Almost surely, 2^80825040 is an apocalyptic number.

80825040 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 80825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140369922).

80825040 is an abundant number, since it is smaller than the sum of its proper divisors (199914804).

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

80825040 is a wasteful number, since it uses less digits than its factorization.

80825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 80825040 is about 8990.2747455236. The cubic root of 80825040 is about 432.3631206168.

Adding to 80825040 its reverse (4052808), we get a palindrome (84877848).

The spelling of 80825040 in words is "eighty million, eight hundred twenty-five thousand, forty".