768684180 has 144 divisors (see below), whose sum is σ = 2394729792. Its totient is φ = 182707200.

The previous prime is 768684157. The next prime is 768684187. The reversal of 768684180 is 81486867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768684187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455704 + ... + 2456016.

It is an arithmetic number, because the mean of its divisors is an integer number (16630068).

Almost surely, 2^768684180 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 768684180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197364896).

768684180 is an abundant number, since it is smaller than the sum of its proper divisors (1626045612).

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

768684180 is a wasteful number, since it uses less digits than its factorization.

768684180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 768684180 is about 27725.1542827087. The cubic root of 768684180 is about 916.0432545061.

The spelling of 768684180 in words is "seven hundred sixty-eight million, six hundred eighty-four thousand, one hundred eighty".