878950440 has 192 divisors, whose sum is σ = 3058997760. Its totient is φ = 226748160.

The previous prime is 878950427. The next prime is 878950453. The reversal of 878950440 is 44059878.

878950440 is a `hidden beast` number, since 87 + 89 + 50 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (878950427) and next prime (878950453).

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

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, 299862 + ... + 302778.

It is an arithmetic number, because the mean of its divisors is an integer number (15932280).

Almost surely, 2^878950440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878950440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529498880).

878950440 is an abundant number, since it is smaller than the sum of its proper divisors (2180047320).

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

878950440 is a wasteful number, since it uses less digits than its factorization.

878950440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 878950440 is about 29647.0983403098. The cubic root of 878950440 is about 957.9028438946.

The spelling of 878950440 in words is "eight hundred seventy-eight million, nine hundred fifty thousand, four hundred forty".