775856448 has 224 divisors, whose sum is σ = 2396459520. Its totient is φ = 245882880.

The previous prime is 775856443. The next prime is 775856479. The reversal of 775856448 is 844658577.

775856448 is a `hidden beast` number, since 7 + 75 + 8 + 564 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 775856394 and 775856403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775856443) 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 31 ways as a sum of consecutive naturals, for example, 3329740 + ... + 3329972.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^775856448 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 775856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

775856448 is an abundant number, since it is smaller than the sum of its proper divisors (1620603072).

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

775856448 is a wasteful number, since it uses less digits than its factorization.

775856448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 775856448 is about 27854.1998269561. The cubic root of 775856448 is about 918.8835101271.

The spelling of 775856448 in words is "seven hundred seventy-five million, eight hundred fifty-six thousand, four hundred forty-eight".