7760774448 has 720 divisors, whose sum is σ = 29175007680. Its totient is φ = 1907490816.

The previous prime is 7760774423. The next prime is 7760774449. The reversal of 7760774448 is 8444770677.

7760774448 is a `hidden beast` number, since 77 + 60 + 7 + 74 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7760774394 and 7760774403.

It is not an unprimeable number, because it can be changed into a prime (7760774449) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 80007936 + ... + 80008032.

It is an arithmetic number, because the mean of its divisors is an integer number (40520844).

Almost surely, 2^7760774448 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 7760774448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587503840).

7760774448 is an abundant number, since it is smaller than the sum of its proper divisors (21414233232).

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

7760774448 is a wasteful number, since it uses less digits than its factorization.

7760774448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The square root of 7760774448 is about 88095.2578065358. The cubic root of 7760774448 is about 1979.8624575409.

The spelling of 7760774448 in words is "seven billion, seven hundred sixty million, seven hundred seventy-four thousand, four hundred forty-eight".