7780256064 has 420 divisors, whose sum is σ = 27171007380. Its totient is φ = 2194698240.

The previous prime is 7780256051. The next prime is 7780256119. The reversal of 7780256064 is 4606520877.

7780256064 is a `hidden beast` number, since 7 + 7 + 80 + 2 + 560 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5340686400 + 2439569664 = 73080^2 + 49392^2 .

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 27687604 + ... + 27687884.

Almost surely, 2^7780256064 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 7780256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585503690).

7780256064 is an abundant number, since it is smaller than the sum of its proper divisors (19390751316).

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

7780256064 is a wasteful number, since it uses less digits than its factorization.

7780256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

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

The square root of 7780256064 is about 88205.7598119306. The cubic root of 7780256064 is about 1981.5177343816.

The spelling of 7780256064 in words is "seven billion, seven hundred eighty million, two hundred fifty-six thousand, sixty-four".