8004000 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 1971200.

The previous prime is 8003987. The next prime is 8004011. The reversal of 8004000 is 4008.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 275986 + ... + 276014.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^8004000 is an apocalyptic number.

8004000 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 8004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8004000 is an abundant number, since it is smaller than the sum of its proper divisors (20300640).

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

8004000 is a wasteful number, since it uses less digits than its factorization.

8004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8004000 is about 2829.1341431611. The cubic root of 8004000 is about 200.0333277793.

Adding to 8004000 its reverse (4008), we get a palindrome (8008008).

It can be divided in two parts, 800 and 4000, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 8004000 in words is "eight million, four thousand".