775585152 has 256 divisors, whose sum is σ = 2488147200. Its totient is φ = 236888064.

The previous prime is 775585147. The next prime is 775585163. The reversal of 775585152 is 251585577.

775585152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 775585098 and 775585107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526183 + ... + 2526489.

It is an arithmetic number, because the mean of its divisors is an integer number (9719325).

Almost surely, 2^775585152 is an apocalyptic number.

775585152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 775585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244073600).

775585152 is an abundant number, since it is smaller than the sum of its proper divisors (1712562048).

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

775585152 is a wasteful number, since it uses less digits than its factorization.

775585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 490000, while the sum is 45.

The square root of 775585152 is about 27849.3294712817. The cubic root of 775585152 is about 918.7763947436.

The spelling of 775585152 in words is "seven hundred seventy-five million, five hundred eighty-five thousand, one hundred fifty-two".