775132560 has 240 divisors, whose sum is σ = 2695006080. Its totient is φ = 199557120.

The previous prime is 775132559. The next prime is 775132609. The reversal of 775132560 is 65231577.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015952 + ... + 3016208.

It is an arithmetic number, because the mean of its divisors is an integer number (11229192).

Almost surely, 2^775132560 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 775132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347503040).

775132560 is an abundant number, since it is smaller than the sum of its proper divisors (1919873520).

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

775132560 is a wasteful number, since it uses less digits than its factorization.

775132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

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

The square root of 775132560 is about 27841.2025602344. The cubic root of 775132560 is about 918.5976429297.

The spelling of 775132560 in words is "seven hundred seventy-five million, one hundred thirty-two thousand, five hundred sixty".