768289536 has 360 divisors, whose sum is σ = 2690885120. Its totient is φ = 213497856.

The previous prime is 768289531. The next prime is 768289541. The reversal of 768289536 is 635982867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768289531) and next prime (768289541).

It is a super-2 number, since 2×768289536² = 1180537622254190592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (768289531) 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 39 ways as a sum of consecutive naturals, for example, 9725145 + ... + 9725223.

Almost surely, 2^768289536 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 768289536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345442560).

768289536 is an abundant number, since it is smaller than the sum of its proper divisors (1922595584).

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

768289536 is an equidigital number, since it uses as much as digits as its factorization.

768289536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 768289536 is about 27718.0362940812. The cubic root of 768289536 is about 915.8864615222.

The spelling of 768289536 in words is "seven hundred sixty-eight million, two hundred eighty-nine thousand, five hundred thirty-six".