8774478768 has 320 divisors, whose sum is σ = 26878279680. Its totient is φ = 2438553600.

The previous prime is 8774478767. The next prime is 8774478827. The reversal of 8774478768 is 8678744778.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (118013952) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 8774478699 and 8774478708.

It is not an unprimeable number, because it can be changed into a prime (8774478767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69090321 + ... + 69090447.

It is an arithmetic number, because the mean of its divisors is an integer number (83994624).

Almost surely, 2^8774478768 is an apocalyptic number.

8774478768 is a gapful number since it is divisible by the number (88) 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 8774478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

8774478768 is an abundant number, since it is smaller than the sum of its proper divisors (18103800912).

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

8774478768 is a wasteful number, since it uses less digits than its factorization.

8774478768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 118013952, while the sum is 66.

The square root of 8774478768 is about 93672.1878040649. The cubic root of 8774478768 is about 2062.5624604923.

The spelling of 8774478768 in words is "eight billion, seven hundred seventy-four million, four hundred seventy-eight thousand, seven hundred sixty-eight".