7875387817920 has 2016 divisors, whose sum is σ = 34295937601536. Its totient is φ = 1622583705600.

The previous prime is 7875387817909. The next prime is 7875387817933. The reversal of 7875387817920 is 297187835787.

7875387817920 is a `hidden beast` number, since 7 + 8 + 7 + 538 + 7 + 81 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15115907260 + ... + 15115907780.

Almost surely, 2^{7875387817920} is an apocalyptic number.

7875387817920 is a gapful number since it is divisible by the number (70) 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 7875387817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147968800768).

7875387817920 is an abundant number, since it is smaller than the sum of its proper divisors (26420549783616).

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

7875387817920 is a wasteful number, since it uses less digits than its factorization.

7875387817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 7875387817920 in words is "seven trillion, eight hundred seventy-five billion, three hundred eighty-seven million, eight hundred seventeen thousand, nine hundred twenty".