774400648320 has 384 divisors, whose sum is σ = 2912184802800. Its totient is φ = 188478259200.

The previous prime is 774400648309. The next prime is 774400648327. The reversal of 774400648320 is 23846004477.

774400648320 is a `hidden beast` number, since 77 + 440 + 0 + 64 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50172416064 + 724228232256 = 223992^2 + 851016^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (774400648327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6606220 + ... + 6722420.

Almost surely, 2^774400648320 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 774400648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456092401400).

774400648320 is an abundant number, since it is smaller than the sum of its proper divisors (2137784154480).

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

774400648320 is a wasteful number, since it uses less digits than its factorization.

774400648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116328 (or 116313 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 774400648320 in words is "seven hundred seventy-four billion, four hundred million, six hundred forty-eight thousand, three hundred twenty".