768180 has 96 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 167040.

The previous prime is 768169. The next prime is 768191. The reversal of 768180 is 81867.

768180 is a nontrivial binomial coefficient, being equal to C(1240, 2).

It is an interprime number because it is at equal distance from previous prime (768169) and next prime (768191).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

768180 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 31 ways as a sum of consecutive naturals, for example, 12991 + ... + 13049.

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

2⁷⁶⁸¹⁸⁰ is an apocalyptic number.

768180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

768180 is the 1239-th triangular number and also the 620-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

768180 is an abundant number, since it is smaller than the sum of its proper divisors (1812300).

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

768180 is a wasteful number, since it uses less digits than its factorization.

768180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 768180 is about 876.4587839710. The cubic root of 768180 is about 91.5842933094.

It can be divided in two parts, 76 and 8180, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 768180 in words is "seven hundred sixty-eight thousand, one hundred eighty".