878414628000 has 384 divisors, whose sum is σ = 3541772183040. Its totient is φ = 185335603200.

The previous prime is 878414627999. The next prime is 878414628029. The reversal of 878414628000 is 826414878.

It is a super-3 number, since 3×878414628000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 689796 + ... + 1494204.

It is an arithmetic number, because the mean of its divisors is an integer number (9223365060).

Almost surely, 2^878414628000 is an apocalyptic number.

878414628000 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 878414628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770886091520).

878414628000 is an abundant number, since it is smaller than the sum of its proper divisors (2663357555040).

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

878414628000 is a wasteful number, since it uses less digits than its factorization.

878414628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804457 (or 804439 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 878414628000 in words is "eight hundred seventy-eight billion, four hundred fourteen million, six hundred twenty-eight thousand".