7872419800 has 96 divisors (see below), whose sum is σ = 20942632800. Its totient is φ = 2695956480.

The previous prime is 7872419743. The next prime is 7872419803. The reversal of 7872419800 is 89142787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872419803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409814 + ... + 1415386.

It is an arithmetic number, because the mean of its divisors is an integer number (218152425).

Almost surely, 2^7872419800 is an apocalyptic number.

7872419800 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 7872419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471316400).

7872419800 is an abundant number, since it is smaller than the sum of its proper divisors (13070213000).

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

7872419800 is a wasteful number, since it uses less digits than its factorization.

7872419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 7872419800 is about 88726.6577754397. The cubic root of 7872419800 is about 1989.3112942150.

The spelling of 7872419800 in words is "seven billion, eight hundred seventy-two million, four hundred nineteen thousand, eight hundred".