7872257800 has 96 divisors (see below), whose sum is σ = 20611180800. Its totient is φ = 2770272000.

The previous prime is 7872257759. The next prime is 7872257803. The reversal of 7872257800 is 87522787.

It is not an unprimeable number, because it can be changed into a prime (7872257803) 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, 10486 + ... + 125914.

It is an arithmetic number, because the mean of its divisors is an integer number (214699800).

Almost surely, 2^7872257800 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 7872257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305590400).

7872257800 is an abundant number, since it is smaller than the sum of its proper divisors (12738923000).

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

7872257800 is a wasteful number, since it uses less digits than its factorization.

7872257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115487 (or 115478 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 46.

The square root of 7872257800 is about 88725.7448545798. The cubic root of 7872257800 is about 1989.2976486588.

The spelling of 7872257800 in words is "seven billion, eight hundred seventy-two million, two hundred fifty-seven thousand, eight hundred".