768356352 has 156 divisors (see below), whose sum is σ = 2338366680. Its totient is φ = 242417664.

The previous prime is 768356339. The next prime is 768356357. The reversal of 768356352 is 253653867.

768356352 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768356298 and 768356307.

It is not an unprimeable number, because it can be changed into a prime (768356357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699868 + ... + 700964.

It is an arithmetic number, because the mean of its divisors is an integer number (14989530).

Almost surely, 2^768356352 is an apocalyptic number.

768356352 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 768356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169183340).

768356352 is an abundant number, since it is smaller than the sum of its proper divisors (1570010328).

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

768356352 is a wasteful number, since it uses less digits than its factorization.

768356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1121 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 768356352 is about 27719.2415480655. The cubic root of 768356352 is about 915.9130114504.

The spelling of 768356352 in words is "seven hundred sixty-eight million, three hundred fifty-six thousand, three hundred fifty-two".