7973000 has 128 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 2534400.

The previous prime is 7972969. The next prime is 7973047. The reversal of 7973000 is 3797.

It is a happy number.

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, 118967 + ... + 119033.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^7973000 is an apocalyptic number.

7973000 is a gapful number since it is divisible by the number (70) 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 7973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

7973000 is an abundant number, since it is smaller than the sum of its proper divisors (14940280).

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

7973000 is a wasteful number, since it uses less digits than its factorization.

7973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 7973000 is about 2823.6501199688. The cubic root of 7973000 is about 199.7747463993.

Adding to 7973000 its reverse (3797), we get a palindrome (7976797).

The spelling of 7973000 in words is "seven million, nine hundred seventy-three thousand".