8779008000 has 768 divisors, whose sum is σ = 35324190720. Its totient is φ = 1892352000.

The previous prime is 8779007999. The next prime is 8779008013. The reversal of 8779008000 is 8009778.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 8779008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123647965 + ... + 123648035.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^8779008000 is an apocalyptic number.

8779008000 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 8779008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662095360).

8779008000 is an abundant number, since it is smaller than the sum of its proper divisors (26545182720).

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

8779008000 is a wasteful number, since it uses less digits than its factorization.

8779008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 8779008000 is about 93696.3606550436. The cubic root of 8779008000 is about 2062.9172856332.

The spelling of 8779008000 in words is "eight billion, seven hundred seventy-nine million, eight thousand".