765768672 has 144 divisors (see below), whose sum is σ = 2319211440. Its totient is φ = 238841856.

The previous prime is 765768659. The next prime is 765768677. The reversal of 765768672 is 276867567.

765768672 is a `hidden beast` number, since 7 + 6 + 576 + 8 + 67 + 2 = 666.

765768672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5927040) is a multiple of the sum of its prime factors (945).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765768677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120843 + ... + 1121525.

It is an arithmetic number, because the mean of its divisors is an integer number (16105635).

Almost surely, 2^765768672 is an apocalyptic number.

765768672 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 765768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159605720).

765768672 is an abundant number, since it is smaller than the sum of its proper divisors (1553442768).

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

765768672 is a wasteful number, since it uses less digits than its factorization.

765768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 765768672 is about 27672.5255804381. The cubic root of 765768672 is about 914.8836473031.

The spelling of 765768672 in words is "seven hundred sixty-five million, seven hundred sixty-eight thousand, six hundred seventy-two".