780768 has 36 divisors (see below), whose sum is σ = 2221128. Its totient is φ = 260160.

The previous prime is 780733. The next prime is 780799. The reversal of 780768 is 867087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1068 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (61698).

2⁷⁸⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

780768 is an abundant number, since it is smaller than the sum of its proper divisors (1440360).

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

780768 is a wasteful number, since it uses less digits than its factorization.

780768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 780768 is about 883.6107740402. The cubic root of 780768 is about 92.0818427355.

It can be divided in two parts, 7807 and 68, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 780768 in words is "seven hundred eighty thousand, seven hundred sixty-eight".