768780 has 36 divisors (see below), whose sum is σ = 2332512. Its totient is φ = 204960.

The previous prime is 768773. The next prime is 768787. The reversal of 768780 is 87867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768773) and next prime (768787).

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 not an unprimeable number, because it can be changed into a prime (768787) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1956 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (64792).

2⁷⁶⁸⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

768780 is an abundant number, since it is smaller than the sum of its proper divisors (1563732).

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

768780 is a wasteful number, since it uses less digits than its factorization.

768780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4281 counting only the distinct ones).

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

The square root of 768780 is about 876.8010036491. The cubic root of 768780 is about 91.6081315919.

The spelling of 768780 in words is "seven hundred sixty-eight thousand, seven hundred eighty".