768096 has 96 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 217728.

The previous prime is 768073. The next prime is 768101. The reversal of 768096 is 690867.

It is a tau number, because it is divible by the number of its divisors (96).

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 nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 768096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5985 + ... + 6111.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁷⁶⁸⁰⁹⁶ 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 768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

768096 is an abundant number, since it is smaller than the sum of its proper divisors (1812384).

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

768096 is a wasteful number, since it uses less digits than its factorization.

768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 768096 is about 876.4108625525. The cubic root of 768096 is about 91.5809549594.

It can be divided in two parts, 7680 and 96, that added together give a 5-th power (7776 = 6⁵).

The spelling of 768096 in words is "seven hundred sixty-eight thousand, ninety-six".