7008000 has 144 divisors (see below), whose sum is σ = 23595936. Its totient is φ = 1843200.

The previous prime is 7007993. The next prime is 7008013. The reversal of 7008000 is 8007.

It is a super-2 number, since 2×7008000² = 98224128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95964 + ... + 96036.

Almost surely, 2^7008000 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 7008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797968).

7008000 is an abundant number, since it is smaller than the sum of its proper divisors (16587936).

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

7008000 is an equidigital number, since it uses as much as digits as its factorization.

7008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 7008000 is about 2647.2627372439. The cubic root of 7008000 is about 191.3659641024.

The spelling of 7008000 in words is "seven million, eight thousand".