8779120 has 80 divisors (see below), whose sum is σ = 23802048. Its totient is φ = 2949120.

The previous prime is 8779117. The next prime is 8779139. The reversal of 8779120 is 219778.

8779120 = T₃₉ + T₄₀ + ... + T₃₇₄.

8779120 is digitally balanced in base 2 and base 8, 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 (80).

8779120 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34032 + ... + 34288.

Almost surely, 2^8779120 is an apocalyptic number.

8779120 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 8779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901024).

8779120 is an abundant number, since it is smaller than the sum of its proper divisors (15022928).

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

8779120 is a wasteful number, since it uses less digits than its factorization.

8779120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 8779120 is about 2962.9579814773. The cubic root of 8779120 is about 206.2926058293.

The spelling of 8779120 in words is "eight million, seven hundred seventy-nine thousand, one hundred twenty".