8779780800 has 756 divisors, whose sum is σ = 37948459536. Its totient is φ = 1916006400.

The previous prime is 8779780787. The next prime is 8779780829. The reversal of 8779780800 is 80879778.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16228530 + ... + 16229070.

Almost surely, 2^8779780800 is an apocalyptic number.

8779780800 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 8779780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974229768).

8779780800 is an abundant number, since it is smaller than the sum of its proper divisors (29168678736).

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

8779780800 is a wasteful number, since it uses less digits than its factorization.

8779780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 8779780800 is about 93700.4845238273. The cubic root of 8779780800 is about 2062.9778154676.

The spelling of 8779780800 in words is "eight billion, seven hundred seventy-nine million, seven hundred eighty thousand, eight hundred".