8778411600 has 480 divisors, whose sum is σ = 33477857280. Its totient is φ = 1924608000.

The previous prime is 8778411547. The next prime is 8778411643. The reversal of 8778411600 is 61148778.

It is a happy number.

8778411600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 24452221 + ... + 24452579.

It is an arithmetic number, because the mean of its divisors is an integer number (69745536).

Almost surely, 2^8778411600 is an apocalyptic number.

8778411600 is a gapful number since it is divisible by the number (80) 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 8778411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738928640).

8778411600 is an abundant number, since it is smaller than the sum of its proper divisors (24699445680).

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

8778411600 is a wasteful number, since it uses less digits than its factorization.

8778411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 8778411600 is about 93693.1779800429. The cubic root of 8778411600 is about 2062.8705699629.

The spelling of 8778411600 in words is "eight billion, seven hundred seventy-eight million, four hundred eleven thousand, six hundred".