878084064000 has 2880 divisors, whose sum is σ = 4044685252608. Its totient is φ = 186126336000.

The previous prime is 878084063959. The next prime is 878084064017. The reversal of 878084064000 is 460480878.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-4 number, since 4×878084064000⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8525087949 + ... + 8525088051.

Almost surely, 2^878084064000 is an apocalyptic number.

878084064000 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 878084064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022342626304).

878084064000 is an abundant number, since it is smaller than the sum of its proper divisors (3166601188608).

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

878084064000 is a wasteful number, since it uses less digits than its factorization.

878084064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 878084064000 in words is "eight hundred seventy-eight billion, eighty-four million, sixty-four thousand".