768128 has 32 divisors (see below), whose sum is σ = 1624860. Its totient is φ = 360448.

The previous prime is 768127. The next prime is 768133. The reversal of 768128 is 821867.

It can be written as a sum of positive squares in 2 ways, for example, as 760384 + 7744 = 872^2 + 88^2 .

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).

Its product of digits (5376) is a multiple of the sum of its prime factors (384).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768094 and 768103.

It is not an unprimeable number, because it can be changed into a prime (768127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2000 + ... + 2352.

2⁷⁶⁸¹²⁸ 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 768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812430).

768128 is an abundant number, since it is smaller than the sum of its proper divisors (856732).

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

768128 is a wasteful number, since it uses less digits than its factorization.

768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

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

The square root of 768128 is about 876.4291186400. The cubic root of 768128 is about 91.5822267405.

The spelling of 768128 in words is "seven hundred sixty-eight thousand, one hundred twenty-eight".