768865536 has 108 divisors (see below), whose sum is σ = 2226095872. Its totient is φ = 255218688.

The previous prime is 768865507. The next prime is 768865547. The reversal of 768865536 is 635568867.

768865536 is a `hidden beast` number, since 7 + 6 + 8 + 86 + 553 + 6 = 666.

768865536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×768865536³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706785 + ... + 707871.

Almost surely, 2^768865536 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 768865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113047936).

768865536 is an abundant number, since it is smaller than the sum of its proper divisors (1457230336).

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

768865536 is a wasteful number, since it uses less digits than its factorization.

768865536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1399 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 768865536 is about 27728.4246938047. The cubic root of 768865536 is about 916.1152896719.

The spelling of 768865536 in words is "seven hundred sixty-eight million, eight hundred sixty-five thousand, five hundred thirty-six".