768684060 has 192 divisors, whose sum is σ = 2523709440. Its totient is φ = 193950720.

The previous prime is 768684047. The next prime is 768684061. The reversal of 768684060 is 60486867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 768683997 and 768684015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768684061) 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 63 ways as a sum of consecutive naturals, for example, 786292 + ... + 787268.

It is an arithmetic number, because the mean of its divisors is an integer number (13144320).

Almost surely, 2^768684060 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 768684060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261854720).

768684060 is an abundant number, since it is smaller than the sum of its proper divisors (1755025380).

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

768684060 is a wasteful number, since it uses less digits than its factorization.

768684060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 768684060 is about 27725.1521186088. The cubic root of 768684060 is about 916.0432068379.

The spelling of 768684060 in words is "seven hundred sixty-eight million, six hundred eighty-four thousand, sixty".