775264896 has 192 divisors, whose sum is σ = 2573076480. Its totient is φ = 219469824.

The previous prime is 775264879. The next prime is 775264909. The reversal of 775264896 is 698462577.

775264896 is a `hidden beast` number, since 77 + 526 + 48 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (896).

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 23 ways as a sum of consecutive naturals, for example, 1023750 + ... + 1024506.

It is an arithmetic number, because the mean of its divisors is an integer number (13401440).

Almost surely, 2^775264896 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 775264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286538240).

775264896 is an abundant number, since it is smaller than the sum of its proper divisors (1797811584).

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

775264896 is a wasteful number, since it uses less digits than its factorization.

775264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 896 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 775264896 is about 27843.5790802835. The cubic root of 775264896 is about 918.6499164059.

The spelling of 775264896 in words is "seven hundred seventy-five million, two hundred sixty-four thousand, eight hundred ninety-six".