7770928256 has 384 divisors, whose sum is σ = 20995516800. Its totient is φ = 2794881024.

The previous prime is 7770928213. The next prime is 7770928267. The reversal of 7770928256 is 6528290777.

It is a junction number, because it is equal to n+sod(n) for n = 7770928198 and 7770928207.

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 47 ways as a sum of consecutive naturals, for example, 106451036 + ... + 106451108.

It is an arithmetic number, because the mean of its divisors is an integer number (54675825).

Almost surely, 2^7770928256 is an apocalyptic number.

7770928256 is a gapful number since it is divisible by the number (76) 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 7770928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497758400).

7770928256 is an abundant number, since it is smaller than the sum of its proper divisors (13224588544).

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

7770928256 is a wasteful number, since it uses less digits than its factorization.

7770928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 7770928256 is about 88152.8686770884. The cubic root of 7770928256 is about 1980.7255321583.

The spelling of 7770928256 in words is "seven billion, seven hundred seventy million, nine hundred twenty-eight thousand, two hundred fifty-six".