7819125378900 has 432 divisors, whose sum is σ = 26423363921472. Its totient is φ = 1777699123200.

The previous prime is 7819125378881. The next prime is 7819125378929. The reversal of 7819125378900 is 98735219187.

It is a super-2 number, since 2×7819125378900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174616914 + ... + 174661686.

Almost surely, 2^{7819125378900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7819125378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211681960736).

7819125378900 is an abundant number, since it is smaller than the sum of its proper divisors (18604238542572).

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

7819125378900 is a wasteful number, since it uses less digits than its factorization.

7819125378900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45112 (or 45094 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 7819125378900 in words is "seven trillion, eight hundred nineteen billion, one hundred twenty-five million, three hundred seventy-eight thousand, nine hundred".