8816779440 has 240 divisors, whose sum is σ = 34931859456. Its totient is φ = 1950220800.

The previous prime is 8816779423. The next prime is 8816779463. The reversal of 8816779440 is 449776188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128025 + ... + 184455.

Almost surely, 2^8816779440 is an apocalyptic number.

8816779440 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 8816779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465929728).

8816779440 is an abundant number, since it is smaller than the sum of its proper divisors (26115080016).

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

8816779440 is a wasteful number, since it uses less digits than its factorization.

8816779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56488 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 8816779440 is about 93897.7073202536. The cubic root of 8816779440 is about 2065.8716009802.

The spelling of 8816779440 in words is "eight billion, eight hundred sixteen million, seven hundred seventy-nine thousand, four hundred forty".