878978880 has 336 divisors, whose sum is σ = 3449903184. Its totient is φ = 203489280.

The previous prime is 878978851. The next prime is 878978909. The reversal of 878978880 is 88879878.

It is an interprime number because it is at equal distance from previous prime (878978851) and next prime (878978909).

It can be written as a sum of positive squares in 8 ways, for example, as 17438976 + 861539904 = 4176^2 + 29352^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 635790 + ... + 637170.

It is an arithmetic number, because the mean of its divisors is an integer number (10267569).

Almost surely, 2^878978880 is an apocalyptic number.

878978880 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 878978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724951592).

878978880 is an abundant number, since it is smaller than the sum of its proper divisors (2570924304).

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

878978880 is a wasteful number, since it uses less digits than its factorization.

878978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The square root of 878978880 is about 29647.5779786478. The cubic root of 878978880 is about 957.9131753315.

The spelling of 878978880 in words is "eight hundred seventy-eight million, nine hundred seventy-eight thousand, eight hundred eighty".