8678880 has 288 divisors, whose sum is σ = 36197280. Its totient is φ = 1935360.

The previous prime is 8678863. The next prime is 8678893. The reversal of 8678880 is 888768.

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

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, 211660 + ... + 211700.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 2^8678880 is an apocalyptic number.

8678880 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 8678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

8678880 is an abundant number, since it is smaller than the sum of its proper divisors (27518400).

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

8678880 is a wasteful number, since it uses less digits than its factorization.

8678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8678880 is about 2945.9938900140. The cubic root of 8678880 is about 205.5044487289.

It can be divided in two parts, 86788 and 80, that added together give a palindrome (86868).

The spelling of 8678880 in words is "eight million, six hundred seventy-eight thousand, eight hundred eighty".