768684672 has 384 divisors, whose sum is σ = 2768688000. Its totient is φ = 199729152.

The previous prime is 768684667. The next prime is 768684703. The reversal of 768684672 is 276486867.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×768684672² = 1181752249935495168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4443178 + ... + 4443350.

It is an arithmetic number, because the mean of its divisors is an integer number (7210125).

Almost surely, 2^768684672 is an apocalyptic number.

768684672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384344000).

768684672 is an abundant number, since it is smaller than the sum of its proper divisors (2000003328).

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

768684672 is a wasteful number, since it uses less digits than its factorization.

768684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 768684672 is about 27725.1631555163. The cubic root of 768684672 is about 916.0434499453.

The spelling of 768684672 in words is "seven hundred sixty-eight million, six hundred eighty-four thousand, six hundred seventy-two".