7020800 has 54 divisors (see below), whose sum is σ = 17393418. Its totient is φ = 2805760.

The previous prime is 7020791. The next prime is 7020821. The reversal of 7020800 is 80207.

7020800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 6885376 = 368^2 + 2624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5852 + ... + 6948.

Almost surely, 2^7020800 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 7020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696709).

7020800 is an abundant number, since it is smaller than the sum of its proper divisors (10372618).

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

7020800 is a wasteful number, since it uses less digits than its factorization.

7020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 7020800 is about 2649.6792258687. The cubic root of 7020800 is about 191.4824021987.

The spelling of 7020800 in words is "seven million, twenty thousand, eight hundred".