772008768 has 168 divisors, whose sum is σ = 2315032200. Its totient is φ = 245661696.

The previous prime is 772008763. The next prime is 772008781. The reversal of 772008768 is 867800277.

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 694427904 = 8808^2 + 26352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772008761) 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 23 ways as a sum of consecutive naturals, for example, 1887348 + ... + 1887756.

Almost surely, 2^772008768 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 772008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157516100).

772008768 is an abundant number, since it is smaller than the sum of its proper divisors (1543023432).

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

772008768 is a wasteful number, since it uses less digits than its factorization.

772008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 772008768 is about 27785.0457620642. The cubic root of 772008768 is about 917.3619956416.

The spelling of 772008768 in words is "seven hundred seventy-two million, eight thousand, seven hundred sixty-eight".