878837400 has 288 divisors, whose sum is σ = 3551558400. Its totient is φ = 190252800.

The previous prime is 878837387. The next prime is 878837411. The reversal of 878837400 is 4738878.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237565 + ... + 241235.

It is an arithmetic number, because the mean of its divisors is an integer number (12331800).

Almost surely, 2^878837400 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 878837400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

878837400 is an abundant number, since it is smaller than the sum of its proper divisors (2672721000).

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

878837400 is a wasteful number, since it uses less digits than its factorization.

878837400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 878837400 is about 29645.1918529801. The cubic root of 878837400 is about 957.8617774989.

The spelling of 878837400 in words is "eight hundred seventy-eight million, eight hundred thirty-seven thousand, four hundred".