878860416 has 256 divisors, whose sum is σ = 2820096000. Its totient is φ = 237219840.

The previous prime is 878860393. The next prime is 878860439. The reversal of 878860416 is 614068878.

It is an interprime number because it is at equal distance from previous prime (878860393) and next prime (878860439).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416285 + ... + 4416483.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^878860416 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 878860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

878860416 is an abundant number, since it is smaller than the sum of its proper divisors (1941235584).

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

878860416 is a wasteful number, since it uses less digits than its factorization.

878860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 878860416 is about 29645.5800415509. The cubic root of 878860416 is about 957.8701392862.

The spelling of 878860416 in words is "eight hundred seventy-eight million, eight hundred sixty thousand, four hundred sixteen".