8012000 has 48 divisors (see below), whose sum is σ = 19695312. Its totient is φ = 3203200.

The previous prime is 8011999. The next prime is 8012003. The reversal of 8012000 is 2108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2999 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (410319).

Almost surely, 2^8012000 is an apocalyptic number.

8012000 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 8012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847656).

8012000 is an abundant number, since it is smaller than the sum of its proper divisors (11683312).

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

8012000 is a wasteful number, since it uses less digits than its factorization.

8012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2010 counting only the distinct ones).

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

The square root of 8012000 is about 2830.5476501907. The cubic root of 8012000 is about 200.0999500416.

Adding to 8012000 its reverse (2108), we get a palindrome (8014108).

The spelling of 8012000 in words is "eight million, twelve thousand".