775272960 has 960 divisors, whose sum is σ = 3676907520. Its totient is φ = 145981440.

The previous prime is 775272959. The next prime is 775272961. The reversal of 775272960 is 69272577.

It is an interprime number because it is at equal distance from previous prime (775272959) and next prime (775272961).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (775272961) 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 95 ways as a sum of consecutive naturals, for example, 33707509 + ... + 33707531.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^775272960 is an apocalyptic number.

775272960 is a gapful number since it is divisible by the number (70) 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 775272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

775272960 is an abundant number, since it is smaller than the sum of its proper divisors (2901634560).

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

775272960 is a wasteful number, since it uses less digits than its factorization.

775272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 775272960 is about 27843.7238888766. The cubic root of 775272960 is about 918.6531015397.

The spelling of 775272960 in words is "seven hundred seventy-five million, two hundred seventy-two thousand, nine hundred sixty".