768869376 has 176 divisors, whose sum is σ = 2278360128. Its totient is φ = 228556800.

The previous prime is 768869363. The next prime is 768869377. The reversal of 768869376 is 673968867.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (768869377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061126 + ... + 2061498.

It is an arithmetic number, because the mean of its divisors is an integer number (12945228).

Almost surely, 2^768869376 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 768869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139180064).

768869376 is an abundant number, since it is smaller than the sum of its proper divisors (1509490752).

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

768869376 is a wasteful number, since it uses less digits than its factorization.

768869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 768869376 is about 27728.4939367431. The cubic root of 768869376 is about 916.1168148094.

The spelling of 768869376 in words is "seven hundred sixty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".