774768456 has 256 divisors, whose sum is σ = 2757888000. Its totient is φ = 195644160.

The previous prime is 774768433. The next prime is 774768541. The reversal of 774768456 is 654867477.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 614755 + ... + 616013.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^774768456 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 774768456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944000).

774768456 is an abundant number, since it is smaller than the sum of its proper divisors (1983119544).

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

774768456 is a wasteful number, since it uses less digits than its factorization.

774768456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 774768456 is about 27834.6628504820. The cubic root of 774768456 is about 918.4537890580.

The spelling of 774768456 in words is "seven hundred seventy-four million, seven hundred sixty-eight thousand, four hundred fifty-six".