768153856 has 72 divisors (see below), whose sum is σ = 1602659520. Its totient is φ = 366987264.

The previous prime is 768153851. The next prime is 768153871. The reversal of 768153856 is 658351867.

It is not an unprimeable number, because it can be changed into a prime (768153851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793885 + ... + 794851.

It is an arithmetic number, because the mean of its divisors is an integer number (22259160).

Almost surely, 2^768153856 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 768153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

768153856 is an abundant number, since it is smaller than the sum of its proper divisors (834505664).

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

768153856 is a wasteful number, since it uses less digits than its factorization.

768153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1105 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The square root of 768153856 is about 27715.5886821839. The cubic root of 768153856 is about 915.8325431381.

The spelling of 768153856 in words is "seven hundred sixty-eight million, one hundred fifty-three thousand, eight hundred fifty-six".