7879000064 has 132 divisors (see below), whose sum is σ = 18027114294. Its totient is φ = 3422552064.

The previous prime is 7879000061. The next prime is 7879000067. The reversal of 7879000064 is 4600009787.

It is an interprime number because it is at equal distance from previous prime (7879000061) and next prime (7879000067).

It can be written as a sum of positive squares in 3 ways, for example, as 7223640064 + 655360000 = 84992^2 + 25600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7878999985 and 7879000030.

It is not an unprimeable number, because it can be changed into a prime (7879000061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463470584 + ... + 463470600.

Almost surely, 2^7879000064 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 7879000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013557147).

7879000064 is an abundant number, since it is smaller than the sum of its proper divisors (10148114230).

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

7879000064 is an frugal number, since it uses more digits than its factorization.

7879000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7879000064 is about 88763.7316926232. The cubic root of 7879000064 is about 1989.8654037229.

The spelling of 7879000064 in words is "seven billion, eight hundred seventy-nine million, sixty-four", and thus it is an aban number.