7973320 has 32 divisors (see below), whose sum is σ = 18283320. Its totient is φ = 3128320.

The previous prime is 7973309. The next prime is 7973321. The reversal of 7973320 is 233797.

It can be written as a sum of positive squares in 4 ways, for example, as 6895876 + 1077444 = 2626^2 + 1038^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7973321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 4000.

Almost surely, 2^7973320 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 7973320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141660).

7973320 is an abundant number, since it is smaller than the sum of its proper divisors (10310000).

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

7973320 is a wasteful number, since it uses less digits than its factorization.

7973320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 7973320 is about 2823.7067836445. The cubic root of 7973320 is about 199.7774190472. Note that the first 3 decimals are identical.

The spelling of 7973320 in words is "seven million, nine hundred seventy-three thousand, three hundred twenty".