8408778048 has 224 divisors, whose sum is σ = 27157680000. Its totient is φ = 2530160640.

The previous prime is 8408778047. The next prime is 8408778061.

It is a happy number.

8408778048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8408777985 and 8408778003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8408778047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2830708 + ... + 2833676.

Almost surely, 2^8408778048 is an apocalyptic number.

8408778048 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 8408778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578840000).

8408778048 is an abundant number, since it is smaller than the sum of its proper divisors (18748901952).

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

8408778048 is a wasteful number, since it uses less digits than its factorization.

8408778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 8408778048 is about 91699.3895726684. The cubic root of 8408778048 is about 2033.5005604528.

The spelling of 8408778048 in words is "eight billion, four hundred eight million, seven hundred seventy-eight thousand, forty-eight".