8120000 has 140 divisors (see below), whose sum is σ = 23804880. Its totient is φ = 2688000.

The previous prime is 8119997. The next prime is 8120023. The reversal of 8120000 is 218.

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279986 + ... + 280014.

Almost surely, 2^8120000 is an apocalyptic number.

8120000 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 8120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902440).

8120000 is an abundant number, since it is smaller than the sum of its proper divisors (15684880).

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

8120000 is an equidigital number, since it uses as much as digits as its factorization.

8120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8120000 is about 2849.5613697550. The cubic root of 8120000 is about 200.9950412545.

Adding to 8120000 its reverse (218), we get a palindrome (8120218).

The spelling of 8120000 in words is "eight million, one hundred twenty thousand".