768541956 has 192 divisors, whose sum is σ = 2316926976. Its totient is φ = 192844800.

The previous prime is 768541913. The next prime is 768541957. The reversal of 768541956 is 659145867.

It is a junction number, because it is equal to n+sod(n) for n = 768541899 and 768541908.

It is not an unprimeable number, because it can be changed into a prime (768541957) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2471041 + ... + 2471351.

It is an arithmetic number, because the mean of its divisors is an integer number (12067328).

Almost surely, 2^768541956 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 768541956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158463488).

768541956 is an abundant number, since it is smaller than the sum of its proper divisors (1548385020).

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

768541956 is a wasteful number, since it uses less digits than its factorization.

768541956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 768541956 is about 27722.5892730098. The cubic root of 768541956 is about 915.9867547648.

The spelling of 768541956 in words is "seven hundred sixty-eight million, five hundred forty-one thousand, nine hundred fifty-six".