878790880 has 96 divisors (see below), whose sum is σ = 2307862368. Its totient is φ = 313497600.

The previous prime is 878790853. The next prime is 878790889. The reversal of 878790880 is 88097878.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878790889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88570 + ... + 97990.

It is an arithmetic number, because the mean of its divisors is an integer number (24040233).

Almost surely, 2^878790880 is an apocalyptic number.

878790880 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 878790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153931184).

878790880 is an abundant number, since it is smaller than the sum of its proper divisors (1429071488).

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

878790880 is a wasteful number, since it uses less digits than its factorization.

878790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 55.

The square root of 878790880 is about 29644.4072296951. The cubic root of 878790880 is about 957.8448761866.

The spelling of 878790880 in words is "eight hundred seventy-eight million, seven hundred ninety thousand, eight hundred eighty".