878928960 has 224 divisors, whose sum is σ = 3434925312. Its totient is φ = 185425920.

The previous prime is 878928943. The next prime is 878928971. The reversal of 878928960 is 69829878.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×878928960² = 1545032233453363200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 878928960.

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 31 ways as a sum of consecutive naturals, for example, 82330 + ... + 92390.

It is an arithmetic number, because the mean of its divisors is an integer number (15334488).

Almost surely, 2^878928960 is an apocalyptic number.

878928960 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 878928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717462656).

878928960 is an abundant number, since it is smaller than the sum of its proper divisors (2555996352).

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

878928960 is a wasteful number, since it uses less digits than its factorization.

878928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 878928960 is about 29646.7360766746. The cubic root of 878928960 is about 957.8950406785.

The spelling of 878928960 in words is "eight hundred seventy-eight million, nine hundred twenty-eight thousand, nine hundred sixty".