768034176 has 256 divisors, whose sum is σ = 2595532800. Its totient is φ = 195747840.

The previous prime is 768034139. The next prime is 768034187. The reversal of 768034176 is 671430867.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1082910 + ... + 1083618.

It is an arithmetic number, because the mean of its divisors is an integer number (10138800).

Almost surely, 2^768034176 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 768034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297766400).

768034176 is an abundant number, since it is smaller than the sum of its proper divisors (1827498624).

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

768034176 is a wasteful number, since it uses less digits than its factorization.

768034176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 768034176 is about 27713.4295243299. The cubic root of 768034176 is about 915.7849777835.

The spelling of 768034176 in words is "seven hundred sixty-eight million, thirty-four thousand, one hundred seventy-six".