8008000 has 224 divisors, whose sum is σ = 26627328. Its totient is φ = 2304000.

The previous prime is 8007991. The next prime is 8008009. The reversal of 8008000 is 8008.

It is an interprime number because it is at equal distance from previous prime (8007991) and next prime (8008009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615994 + ... + 616006.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 2^8008000 is an apocalyptic number.

8008000 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 8008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

8008000 is an abundant number, since it is smaller than the sum of its proper divisors (18619328).

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

8008000 is a wasteful number, since it uses less digits than its factorization.

8008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8008000 is about 2829.8409849318. The cubic root of 8008000 is about 200.0666444568.

8008000 divided by its sum of digits (16) gives a triangular number (500500 = T₁₀₀₀).

8008000 divided by its reverse (8008) gives a cube (1000 = 10³).

The spelling of 8008000 in words is "eight million, eight thousand".