775052328960 has 1440 divisors, whose sum is σ = 3490093807200. Its totient is φ = 154920812544.

The previous prime is 775052328949. The next prime is 775052328977. The reversal of 775052328960 is 69823250577.

775052328960 is a `hidden beast` number, since 7 + 7 + 5 + 0 + 523 + 28 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×775052328960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 775052328897 and 775052328906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40792227831 + ... + 40792227849.

It is an arithmetic number, because the mean of its divisors is an integer number (2423676255).

Almost surely, 2^775052328960 is an apocalyptic number.

775052328960 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 775052328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745046903600).

775052328960 is an abundant number, since it is smaller than the sum of its proper divisors (2715041478240).

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

775052328960 is an equidigital number, since it uses as much as digits as its factorization.

775052328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 775052328960 in words is "seven hundred seventy-five billion, fifty-two million, three hundred twenty-eight thousand, nine hundred sixty".