7665408 has 72 divisors (see below), whose sum is σ = 22688400. Its totient is φ = 2552832.

The previous prime is 7665407. The next prime is 7665431. The reversal of 7665408 is 8045667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7665407) 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 7 ways as a sum of consecutive naturals, for example, 6358 + ... + 7466.

Almost surely, 2^7665408 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 7665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344200).

7665408 is an abundant number, since it is smaller than the sum of its proper divisors (15022992).

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

7665408 is a wasteful number, since it uses less digits than its factorization.

7665408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7665408 is about 2768.6473231526. The cubic root of 7665408 is about 197.1719319797.

The spelling of 7665408 in words is "seven million, six hundred sixty-five thousand, four hundred eight".