8779680 has 288 divisors, whose sum is σ = 37425024. Its totient is φ = 1824768.

The previous prime is 8779621. The next prime is 8779703. The reversal of 8779680 is 869778.

8779680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 131007 + ... + 131073.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

Almost surely, 2^8779680 is an apocalyptic number.

8779680 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 8779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

8779680 is an abundant number, since it is smaller than the sum of its proper divisors (28645344).

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

8779680 is a wasteful number, since it uses less digits than its factorization.

8779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8779680 is about 2963.0524801292. The cubic root of 8779680 is about 206.2969920473.

The spelling of 8779680 in words is "eight million, seven hundred seventy-nine thousand, six hundred eighty".