775768320 has 144 divisors (see below), whose sum is σ = 2753022720. Its totient is φ = 206862336.

The previous prime is 775768319. The next prime is 775768321. The reversal of 775768320 is 23867577.

775768320 is a `hidden beast` number, since 77 + 576 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (775768319) and next prime (775768321).

It is a tau number, because it is divible by the number of its divisors (144).

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 (775768321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23337 + ... + 45783.

Almost surely, 2^775768320 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 775768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376511360).

775768320 is an abundant number, since it is smaller than the sum of its proper divisors (1977254400).

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

775768320 is a wasteful number, since it uses less digits than its factorization.

775768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22477 (or 22457 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 775768320 is about 27852.6178302866. The cubic root of 775768320 is about 918.8487174227.

The spelling of 775768320 in words is "seven hundred seventy-five million, seven hundred sixty-eight thousand, three hundred twenty".