768179646 has 128 divisors (see below), whose sum is σ = 1981324800. Its totient is φ = 218488320.

The previous prime is 768179627. The next prime is 768179651. The reversal of 768179646 is 646971867.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 768179592 and 768179601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703561 + ... + 704651.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^768179646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768179646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

768179646 is an abundant number, since it is smaller than the sum of its proper divisors (1213145154).

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

768179646 is a wasteful number, since it uses less digits than its factorization.

768179646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 768179646 is about 27716.0539399100. The cubic root of 768179646 is about 915.8427924116.

The spelling of 768179646 in words is "seven hundred sixty-eight million, one hundred seventy-nine thousand, six hundred forty-six".