7978087680 has 144 divisors (see below), whose sum is σ = 25589571840. Its totient is φ = 2118344704.

The previous prime is 7978087657. The next prime is 7978087681. The reversal of 7978087680 is 867808797.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978087681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913414 + ... + 922106.

It is an arithmetic number, because the mean of its divisors is an integer number (177705360).

Almost surely, 2^7978087680 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 7978087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794785920).

7978087680 is an abundant number, since it is smaller than the sum of its proper divisors (17611484160).

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

7978087680 is a wasteful number, since it uses less digits than its factorization.

7978087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The square root of 7978087680 is about 89320.1415135467. The cubic root of 7978087680 is about 1998.1723036051.

The spelling of 7978087680 in words is "seven billion, nine hundred seventy-eight million, eighty-seven thousand, six hundred eighty".