7872181884 has 192 divisors, whose sum is σ = 24008678400. Its totient is φ = 2184247296.

The previous prime is 7872181853. The next prime is 7872181913. The reversal of 7872181884 is 4881812787.

It is a happy number.

It is a super-2 number, since 2×7872181884² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7872181884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3696532 + ... + 3698660.

It is an arithmetic number, because the mean of its divisors is an integer number (125045200).

Almost surely, 2^7872181884 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 7872181884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004339200).

7872181884 is an abundant number, since it is smaller than the sum of its proper divisors (16136496516).

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

7872181884 is a wasteful number, since it uses less digits than its factorization.

7872181884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2281 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 54.

The square root of 7872181884 is about 88725.3170408537. The cubic root of 7872181884 is about 1989.2912540509.

The spelling of 7872181884 in words is "seven billion, eight hundred seventy-two million, one hundred eighty-one thousand, eight hundred eighty-four".