8355778560 has 624 divisors, whose sum is σ = 31771119744. Its totient is φ = 2102132736.

The previous prime is 8355778499. The next prime is 8355778567. The reversal of 8355778560 is 658775538.

8355778560 is a `hidden beast` number, since 8 + 3 + 5 + 5 + 7 + 78 + 560 = 666.

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 = 8355778497 and 8355778506.

It is not an unprimeable number, because it can be changed into a prime (8355778567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114462684 + ... + 114462756.

It is an arithmetic number, because the mean of its divisors is an integer number (50915256).

Almost surely, 2^8355778560 is an apocalyptic number.

8355778560 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 8355778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885559872).

8355778560 is an abundant number, since it is smaller than the sum of its proper divisors (23415341184).

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

8355778560 is an equidigital number, since it uses as much as digits as its factorization.

8355778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The square root of 8355778560 is about 91409.9478175105. The cubic root of 8355778560 is about 2029.2192521222.

The spelling of 8355778560 in words is "eight billion, three hundred fifty-five million, seven hundred seventy-eight thousand, five hundred sixty".