7645008 has 80 divisors (see below), whose sum is σ = 23002496. Its totient is φ = 2142720.

The previous prime is 7645007. The next prime is 7645061. The reversal of 7645008 is 8005467.

It is a happy number.

7645008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7645008² = 116892294640128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645007) 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 15 ways as a sum of consecutive naturals, for example, 20310 + ... + 20682.

Almost surely, 2^7645008 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 7645008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501248).

7645008 is an abundant number, since it is smaller than the sum of its proper divisors (15357488).

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

7645008 is a wasteful number, since it uses less digits than its factorization.

7645008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7645008 is about 2764.9607592152. The cubic root of 7645008 is about 196.9968649385.

The spelling of 7645008 in words is "seven million, six hundred forty-five thousand, eight".