8010000 has 150 divisors (see below), whose sum is σ = 28326870. Its totient is φ = 2112000.

The previous prime is 8009999. The next prime is 8010011. The reversal of 8010000 is 108.

It can be written as a sum of positive squares in 5 ways, for example, as 4460544 + 3549456 = 2112^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89956 + ... + 90044.

Almost surely, 2^8010000 is an apocalyptic number.

8010000 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 8010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163435).

8010000 is an abundant number, since it is smaller than the sum of its proper divisors (20316870).

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

8010000 is a wasteful number, since it uses less digits than its factorization.

8010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 8010000 is about 2830.1943396170. The cubic root of 8010000 is about 200.0832986352.

Adding to 8010000 its reverse (108), we get a palindrome (8010108).

The spelling of 8010000 in words is "eight million, ten thousand".