8000100 has 72 divisors (see below), whose sum is σ = 25727520. Its totient is φ = 2132640.

The previous prime is 8000099. The next prime is 8000101. The reversal of 8000100 is 10008.

It is an interprime number because it is at equal distance from previous prime (8000099) and next prime (8000101).

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

It is not an unprimeable number, because it can be changed into a prime (8000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 4181.

Almost surely, 2^8000100 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 8000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863760).

8000100 is an abundant number, since it is smaller than the sum of its proper divisors (17727420).

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

8000100 is a wasteful number, since it uses less digits than its factorization.

8000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2973 counting only the distinct ones).

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

The square root of 8000100 is about 2828.4448023605. Note that the first 3 decimals coincide. The cubic root of 8000100 is about 200.0008333299. Note that the first 3 decimals are identical.

Adding to 8000100 its reverse (10008), we get a palindrome (8010108).

It can be divided in two parts, 8000 and 100, that added together give a square (8100 = 90²).

The spelling of 8000100 in words is "eight million, one hundred", and thus it is an aban number.