775305216 has 192 divisors, whose sum is σ = 2626041600. Its totient is φ = 221405184.

The previous prime is 775305211. The next prime is 775305221. The reversal of 775305216 is 612503577.

775305216 is a `hidden beast` number, since 77 + 530 + 52 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (775305211) and next prime (775305221).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775305211) 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 15 ways as a sum of consecutive naturals, for example, 386071 + ... + 388073.

It is an arithmetic number, because the mean of its divisors is an integer number (13677300).

Almost surely, 2^775305216 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 775305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313020800).

775305216 is an abundant number, since it is smaller than the sum of its proper divisors (1850736384).

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

775305216 is a wasteful number, since it uses less digits than its factorization.

775305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 775305216 is about 27844.3031157183. The cubic root of 775305216 is about 918.6658418540.

The spelling of 775305216 in words is "seven hundred seventy-five million, three hundred five thousand, two hundred sixteen".