775597680 has 640 divisors, whose sum is σ = 3279790080. Its totient is φ = 167961600.

The previous prime is 775597679. The next prime is 775597687. The reversal of 775597680 is 86795577.

775597680 is a `hidden beast` number, since 7 + 7 + 559 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×775597680² = 1203103522442764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775597687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25019265 + ... + 25019295.

It is an arithmetic number, because the mean of its divisors is an integer number (5124672).

Almost surely, 2^775597680 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 775597680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639895040).

775597680 is an abundant number, since it is smaller than the sum of its proper divisors (2504192400).

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

775597680 is a wasteful number, since it uses less digits than its factorization.

775597680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 775597680 is about 27849.5543949989. The cubic root of 775597680 is about 918.7813417047.

The spelling of 775597680 in words is "seven hundred seventy-five million, five hundred ninety-seven thousand, six hundred eighty".