774225838080 has 1440 divisors, whose sum is σ = 3091527129600. Its totient is φ = 184987680768.

The previous prime is 774225838079. The next prime is 774225838109. The reversal of 774225838080 is 80838522477.

774225838080 is a `hidden beast` number, since 7 + 7 + 4 + 2 + 258 + 380 + 8 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

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, 8699166676 + ... + 8699166764.

It is an arithmetic number, because the mean of its divisors is an integer number (2146893840).

Almost surely, 2^774225838080 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 774225838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545763564800).

774225838080 is an abundant number, since it is smaller than the sum of its proper divisors (2317301291520).

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

774225838080 is an equidigital number, since it uses as much as digits as its factorization.

774225838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 774225838080 in words is "seven hundred seventy-four billion, two hundred twenty-five million, eight hundred thirty-eight thousand, eighty".