878070240 has 192 divisors, whose sum is σ = 3086899200. Its totient is φ = 233114112.

The previous prime is 878070233. The next prime is 878070251. The reversal of 878070240 is 42070878.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 878070195 and 878070204.

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 31 ways as a sum of consecutive naturals, for example, 1896249 + ... + 1896711.

It is an arithmetic number, because the mean of its divisors is an integer number (16077600).

Almost surely, 2^878070240 is an apocalyptic number.

878070240 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 878070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543449600).

878070240 is an abundant number, since it is smaller than the sum of its proper divisors (2208828960).

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

878070240 is a wasteful number, since it uses less digits than its factorization.

878070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 878070240 is about 29632.2499989454. The cubic root of 878070240 is about 957.5829822165.

The spelling of 878070240 in words is "eight hundred seventy-eight million, seventy thousand, two hundred forty".