878416 has 80 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 316800.

The previous prime is 878413. The next prime is 878419. The reversal of 878416 is 614878.

878416 = T₆₅ + T₆₆ + ... + T₁₇₆.

It is a happy number.

878416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (878413) and next prime (878419).

It is a super-3 number, since 3×878416³ = 2033396013400485888, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28321 + ... + 28351.

2⁸⁷⁸⁴¹⁶ 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 878416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

878416 is an abundant number, since it is smaller than the sum of its proper divisors (1407152).

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

878416 is a wasteful number, since it uses less digits than its factorization.

878416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 878416 is about 937.2384968619. The cubic root of 878416 is about 95.7708655702.

The spelling of 878416 in words is "eight hundred seventy-eight thousand, four hundred sixteen".