775338480 has 200 divisors, whose sum is σ = 3077740512. Its totient is φ = 177209856.

The previous prime is 775338467. The next prime is 775338481. The reversal of 775338480 is 84833577.

775338480 is a `hidden beast` number, since 77 + 533 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×775338480² = 1202299517137420800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775338481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36814 + ... + 53906.

Almost surely, 2^775338480 is an apocalyptic number.

775338480 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 775338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538870256).

775338480 is an abundant number, since it is smaller than the sum of its proper divisors (2302402032).

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

775338480 is a wasteful number, since it uses less digits than its factorization.

775338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125 (or 17110 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 775338480 is about 27844.9004307791. The cubic root of 775338480 is about 918.6789799330.

The spelling of 775338480 in words is "seven hundred seventy-five million, three hundred thirty-eight thousand, four hundred eighty".