767880 has 96 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 202176.

The previous prime is 767869. The next prime is 767881. The reversal of 767880 is 88767.

It is a happy number.

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 (767881) by changing a digit.

767880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 9681 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁷⁶⁷⁸⁸⁰ 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 767880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

767880 is an abundant number, since it is smaller than the sum of its proper divisors (1852920).

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

767880 is a wasteful number, since it uses less digits than its factorization.

767880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

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

The square root of 767880 is about 876.2876240139. The cubic root of 767880 is about 91.5723695131.

The spelling of 767880 in words is "seven hundred sixty-seven thousand, eight hundred eighty".