7978000 has 40 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 3190400.

The previous prime is 7977997. The next prime is 7978021. The reversal of 7978000 is 8797.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 7573504 = 636^2 + 2752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 3994.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^7978000 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 7978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

7978000 is an abundant number, since it is smaller than the sum of its proper divisors (11317640).

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

7978000 is a wasteful number, since it uses less digits than its factorization.

7978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 7978000 is about 2824.5353600194. The cubic root of 7978000 is about 199.8164983539.

The spelling of 7978000 in words is "seven million, nine hundred seventy-eight thousand".