80825100 has 72 divisors (see below), whose sum is σ = 234776640. Its totient is φ = 21468480.

The previous prime is 80825077. The next prime is 80825111. The reversal of 80825100 is 152808.

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 23 ways as a sum of consecutive naturals, for example, 125379 + ... + 126021.

Almost surely, 2^80825100 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 80825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117388320).

80825100 is an abundant number, since it is smaller than the sum of its proper divisors (153951540).

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

80825100 is a wasteful number, since it uses less digits than its factorization.

80825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

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

The square root of 80825100 is about 8990.2780824622. The cubic root of 80825100 is about 432.3632276042.

Adding to 80825100 its reverse (152808), we get a palindrome (80977908).

The spelling of 80825100 in words is "eighty million, eight hundred twenty-five thousand, one hundred".