7872786144 has 96 divisors (see below), whose sum is σ = 23100215040. Its totient is φ = 2608500096.

The previous prime is 7872785981. The next prime is 7872786149. The reversal of 7872786144 is 4416872787.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872786149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117007 + ... + 171569.

It is an arithmetic number, because the mean of its divisors is an integer number (240627240).

Almost surely, 2^7872786144 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 7872786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550107520).

7872786144 is an abundant number, since it is smaller than the sum of its proper divisors (15227428896).

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

7872786144 is a wasteful number, since it uses less digits than its factorization.

7872786144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54749 (or 54735 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The square root of 7872786144 is about 88728.7222042558. The cubic root of 7872786144 is about 1989.3421513496.

The spelling of 7872786144 in words is "seven billion, eight hundred seventy-two million, seven hundred eighty-six thousand, one hundred forty-four".