7872717408 has 96 divisors (see below), whose sum is σ = 21969843840. Its totient is φ = 2459904000.

The previous prime is 7872717407. The next prime is 7872717421. The reversal of 7872717408 is 8047172787.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872717407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400023 + ... + 419241.

It is an arithmetic number, because the mean of its divisors is an integer number (228852540).

Almost surely, 2^7872717408 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 7872717408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10984921920).

7872717408 is an abundant number, since it is smaller than the sum of its proper divisors (14097126432).

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

7872717408 is a wasteful number, since it uses less digits than its factorization.

7872717408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 1229312, while the sum is 51.

The square root of 7872717408 is about 88728.3348654758. The cubic root of 7872717408 is about 1989.3363617931.

The spelling of 7872717408 in words is "seven billion, eight hundred seventy-two million, seven hundred seventeen thousand, four hundred eight".