878296320 has 432 divisors, whose sum is σ = 3443731200. Its totient is φ = 204718080.

The previous prime is 878296319. The next prime is 878296333. The reversal of 878296320 is 23692878.

878296320 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674761 + ... + 3674999.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^878296320 is an apocalyptic number.

878296320 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 878296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

878296320 is an abundant number, since it is smaller than the sum of its proper divisors (2565434880).

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

878296320 is a wasteful number, since it uses less digits than its factorization.

878296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 878296320 is about 29636.0645160588. The cubic root of 878296320 is about 957.6651593110.

It can be divided in two parts, 87829 and 6320, that added together give a palindrome (94149).

The spelling of 878296320 in words is "eight hundred seventy-eight million, two hundred ninety-six thousand, three hundred twenty".