7680144 has 60 divisors (see below), whose sum is σ = 20640048. Its totient is φ = 2459520.

The previous prime is 7680131. The next prime is 7680149. The reversal of 7680144 is 4410867.

It is a super-2 number, since 2×7680144² = 117969223721472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7680149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125874 + ... + 125934.

Almost surely, 2^7680144 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 7680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320024).

7680144 is an abundant number, since it is smaller than the sum of its proper divisors (12959904).

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

7680144 is a wasteful number, since it uses less digits than its factorization.

7680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7680144 is about 2771.3072727505. The cubic root of 7680144 is about 197.2981990448.

The spelling of 7680144 in words is "seven million, six hundred eighty thousand, one hundred forty-four".