7680128 has 32 divisors (see below), whose sum is σ = 15835500. Its totient is φ = 3705856.

The previous prime is 7680119. The next prime is 7680131. The reversal of 7680128 is 8210867.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 238144 = 2728^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7680094 and 7680103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2678 + ... + 4746.

Almost surely, 2^7680128 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 7680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917750).

7680128 is an abundant number, since it is smaller than the sum of its proper divisors (8155372).

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

7680128 is a wasteful number, since it uses less digits than its factorization.

7680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 7680128 is about 2771.3043860247. The cubic root of 7680128 is about 197.2980620346.

The spelling of 7680128 in words is "seven million, six hundred eighty thousand, one hundred twenty-eight".