7973280 has 216 divisors, whose sum is σ = 31931172. Its totient is φ = 1806336.

The previous prime is 7973269. The next prime is 7973281. The reversal of 7973280 is 823797.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 1192464 = 2604^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7973281) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70504 + ... + 70616.

Almost surely, 2^7973280 is an apocalyptic number.

7973280 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 7973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965586).

7973280 is an abundant number, since it is smaller than the sum of its proper divisors (23957892).

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

7973280 is a wasteful number, since it uses less digits than its factorization.

7973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7973280 is about 2823.6997007472. The cubic root of 7973280 is about 199.7770849701. Note that the first 3 decimals are identical.

The spelling of 7973280 in words is "seven million, nine hundred seventy-three thousand, two hundred eighty".