878509981440 has 720 divisors, whose sum is σ = 3868926925248. Its totient is φ = 185353961472.

The previous prime is 878509981439. The next prime is 878509981441. The reversal of 878509981440 is 44189905878.

878509981440 is a `hidden beast` number, since 8 + 7 + 8 + 509 + 9 + 81 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (878509981439) and next prime (878509981441).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878509981441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9388324 + ... + 9481436.

Almost surely, 2^878509981440 is an apocalyptic number.

878509981440 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 878509981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934463462624).

878509981440 is an abundant number, since it is smaller than the sum of its proper divisors (2990416943808).

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

878509981440 is a wasteful number, since it uses less digits than its factorization.

878509981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93166 (or 93143 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 878509981440 in words is "eight hundred seventy-eight billion, five hundred nine million, nine hundred eighty-one thousand, four hundred forty".