7947408 has 120 divisors (see below), whose sum is σ = 24879360. Its totient is φ = 2177280.

The previous prime is 7947361. The next prime is 7947409. The reversal of 7947408 is 8047497.

It is a super-2 number, since 2×7947408² = 126322587836928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7947409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72858 + ... + 72966.

It is an arithmetic number, because the mean of its divisors is an integer number (207328).

Almost surely, 2^7947408 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 7947408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439680).

7947408 is an abundant number, since it is smaller than the sum of its proper divisors (16931952).

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

7947408 is a wasteful number, since it uses less digits than its factorization.

7947408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7947408 is about 2819.1147546703. The cubic root of 7947408 is about 199.5607694220.

The spelling of 7947408 in words is "seven million, nine hundred forty-seven thousand, four hundred eight".