8878800 has 180 divisors, whose sum is σ = 33304416. Its totient is φ = 2016000.

The previous prime is 8878799. The next prime is 8878823. The reversal of 8878800 is 88788.

8878800 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

8878800 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 35 ways as a sum of consecutive naturals, for example, 58725 + ... + 58875.

Almost surely, 2^8878800 is an apocalyptic number.

8878800 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 8878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652208).

8878800 is an abundant number, since it is smaller than the sum of its proper divisors (24425616).

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

8878800 is a wasteful number, since it uses less digits than its factorization.

8878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 8878800 is about 2979.7315315310. The cubic root of 8878800 is about 207.0704327523.

Multiplying 8878800 by its reverse (88788), we get a square (788330894400 = 887880²).

8878800 divided by its reverse (88788) gives a square (100 = 10²).

The spelling of 8878800 in words is "eight million, eight hundred seventy-eight thousand, eight hundred".