768548682 has 192 divisors, whose sum is σ = 2049482880. Its totient is φ = 213269760.

The previous prime is 768548629. The next prime is 768548701. The reversal of 768548682 is 286845867.

768548682 is a `hidden beast` number, since 7 + 6 + 85 + 486 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5160960) is a multiple of the sum of its prime divisors (70).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20771568 + ... + 20771604.

It is an arithmetic number, because the mean of its divisors is an integer number (10674390).

Almost surely, 2^768548682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768548682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024741440).

768548682 is an abundant number, since it is smaller than the sum of its proper divisors (1280934198).

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

768548682 is a wasteful number, since it uses less digits than its factorization.

768548682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 768548682 is about 27722.7105817595. The cubic root of 768548682 is about 915.9894268848.

The spelling of 768548682 in words is "seven hundred sixty-eight million, five hundred forty-eight thousand, six hundred eighty-two".