878867496000 has 2520 divisors, whose sum is σ = 3925591245576. Its totient is φ = 192894566400.

The previous prime is 878867495969. The next prime is 878867496029. The reversal of 878867496000 is 694768878.

878867496000 is a `hidden beast` number, since 8 + 7 + 88 + 67 + 496 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 537652629504 + 341214866496 = 733248^2 + 584136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 46256183991 + ... + 46256184009.

Almost surely, 2^878867496000 is an apocalyptic number.

878867496000 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 878867496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962795622788).

878867496000 is an abundant number, since it is smaller than the sum of its proper divisors (3046723749576).

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

878867496000 is a wasteful number, since it uses less digits than its factorization.

878867496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 878867496000 in words is "eight hundred seventy-eight billion, eight hundred sixty-seven million, four hundred ninety-six thousand".