7864516300 has 72 divisors (see below), whose sum is σ = 17627059296. Its totient is φ = 3044021760.

The previous prime is 7864516291. The next prime is 7864516301. The reversal of 7864516300 is 36154687.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7864516301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376737 + ... + 397063.

It is an arithmetic number, because the mean of its divisors is an integer number (244820268).

Almost surely, 2^7864516300 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 7864516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813529648).

7864516300 is an abundant number, since it is smaller than the sum of its proper divisors (9762542996).

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

7864516300 is a wasteful number, since it uses less digits than its factorization.

7864516300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467 (or 20460 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 7864516300 is about 88682.1081165756. The cubic root of 7864516300 is about 1988.6453496185.

The spelling of 7864516300 in words is "seven billion, eight hundred sixty-four million, five hundred sixteen thousand, three hundred".