774252864 has 504 divisors, whose sum is σ = 2989031360. Its totient is φ = 192360960.

The previous prime is 774252863. The next prime is 774252881. The reversal of 774252864 is 468252477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

Its product of digits (752640) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (774252863) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 33663157 + ... + 33663179.

Almost surely, 2^774252864 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 774252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494515680).

774252864 is an abundant number, since it is smaller than the sum of its proper divisors (2214778496).

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

774252864 is a wasteful number, since it uses less digits than its factorization.

774252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 774252864 is about 27825.3996197719. The cubic root of 774252864 is about 918.2500066650.

It can be divided in two parts, 7742 and 52864, that added together give a palindrome (60606).

The spelling of 774252864 in words is "seven hundred seventy-four million, two hundred fifty-two thousand, eight hundred sixty-four".