878396160 has 288 divisors, whose sum is σ = 2976325632. Its totient is φ = 220446720.

The previous prime is 878396159. The next prime is 878396161. The reversal of 878396160 is 61693878.

It is an interprime number because it is at equal distance from previous prime (878396159) and next prime (878396161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (878396161) 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 31 ways as a sum of consecutive naturals, for example, 5594802 + ... + 5594958.

It is an arithmetic number, because the mean of its divisors is an integer number (10334464).

Almost surely, 2^878396160 is an apocalyptic number.

878396160 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 878396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488162816).

878396160 is an abundant number, since it is smaller than the sum of its proper divisors (2097929472).

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

878396160 is a wasteful number, since it uses less digits than its factorization.

878396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 878396160 is about 29637.7489023711. The cubic root of 878396160 is about 957.7014453436.

The spelling of 878396160 in words is "eight hundred seventy-eight million, three hundred ninety-six thousand, one hundred sixty".