878964960 has 192 divisors, whose sum is σ = 2844301824. Its totient is φ = 228096000.

The previous prime is 878964959. The next prime is 878964967. The reversal of 878964960 is 69469878.

It is a self number, because there is not a number n which added to its sum of digits gives 878964960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878964967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4856070 + ... + 4856250.

It is an arithmetic number, because the mean of its divisors is an integer number (14814072).

Almost surely, 2^878964960 is an apocalyptic number.

878964960 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 878964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422150912).

878964960 is an abundant number, since it is smaller than the sum of its proper divisors (1965336864).

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

878964960 is a wasteful number, since it uses less digits than its factorization.

878964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 878964960 is about 29647.3432199244. The cubic root of 878964960 is about 957.9081186223.

The spelling of 878964960 in words is "eight hundred seventy-eight million, nine hundred sixty-four thousand, nine hundred sixty".