7947720 has 160 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 1918080.

The previous prime is 7947707. The next prime is 7947739. The reversal of 7947720 is 277497.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 35529 + ... + 35751.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^7947720 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 7947720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

7947720 is an abundant number, since it is smaller than the sum of its proper divisors (21324600).

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

7947720 is a wasteful number, since it uses less digits than its factorization.

7947720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7947720 is about 2819.1700906472. The cubic root of 7947720 is about 199.5633808455.

It can be divided in two parts, 79477 and 20, that added together give a palindrome (79497).

The spelling of 7947720 in words is "seven million, nine hundred forty-seven thousand, seven hundred twenty".