7974000 has 120 divisors (see below), whose sum is σ = 27913392. Its totient is φ = 2121600.

The previous prime is 7973971. The next prime is 7974017. The reversal of 7974000 is 4797.

7974000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17779 + ... + 18221.

Almost surely, 2^7974000 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 7974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956696).

7974000 is an abundant number, since it is smaller than the sum of its proper divisors (19939392).

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

7974000 is a wasteful number, since it uses less digits than its factorization.

7974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7974000 is about 2823.8271901800. The cubic root of 7974000 is about 199.7830981864.

Adding to 7974000 its reverse (4797), we get a palindrome (7978797).

The spelling of 7974000 in words is "seven million, nine hundred seventy-four thousand".