773232768 has 384 divisors, whose sum is σ = 2902348800. Its totient is φ = 191600640.

The previous prime is 773232689. The next prime is 773232773. The reversal of 773232768 is 867232377.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2040003 + ... + 2040381.

It is an arithmetic number, because the mean of its divisors is an integer number (7558200).

Almost surely, 2^773232768 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 773232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451174400).

773232768 is an abundant number, since it is smaller than the sum of its proper divisors (2129116032).

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

773232768 is a wasteful number, since it uses less digits than its factorization.

773232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 773232768 is about 27807.0632753623. The cubic root of 773232768 is about 917.8465575767.

The spelling of 773232768 in words is "seven hundred seventy-three million, two hundred thirty-two thousand, seven hundred sixty-eight".