8779760640 has 704 divisors, whose sum is σ = 36661278720. Its totient is φ = 1950842880.

The previous prime is 8779760617. The next prime is 8779760651. The reversal of 8779760640 is 460679778.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41610135 + ... + 41610345.

It is an arithmetic number, because the mean of its divisors is an integer number (52075680).

Almost surely, 2^8779760640 is an apocalyptic number.

8779760640 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 8779760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330639360).

8779760640 is an abundant number, since it is smaller than the sum of its proper divisors (27881518080).

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

8779760640 is a wasteful number, since it uses less digits than its factorization.

8779760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 8779760640 is about 93700.3769469472. The cubic root of 8779760640 is about 2062.9762364736.

The spelling of 8779760640 in words is "eight billion, seven hundred seventy-nine million, seven hundred sixty thousand, six hundred forty".