768144 has 40 divisors (see below), whose sum is σ = 2138752. Its totient is φ = 236160.

The previous prime is 768139. The next prime is 768161. The reversal of 768144 is 441867.

768144 = T₅₁ + T₅₂ + ... + T₁₆₇.

It is an unprimeable number.

768144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 1239.

2⁷⁶⁸¹⁴⁴ 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 768144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069376).

768144 is an abundant number, since it is smaller than the sum of its proper divisors (1370608).

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

768144 is a wasteful number, since it uses less digits than its factorization.

768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

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

The square root of 768144 is about 876.4382465411. The cubic root of 768144 is about 91.5828626178.

It can be divided in two parts, 768 and 144, that multiplied together give a cube (110592 = 48³).

The spelling of 768144 in words is "seven hundred sixty-eight thousand, one hundred forty-four".