8200872768 has 168 divisors, whose sum is σ = 24143049504. Its totient is φ = 2454594560.

The previous prime is 8200872749. The next prime is 8200872787. The reversal of 8200872768 is 8672780028.

It is an interprime number because it is at equal distance from previous prime (8200872749) and next prime (8200872787).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926130 + ... + 1930382.

It is an arithmetic number, because the mean of its divisors is an integer number (143708628).

Almost surely, 2^8200872768 is an apocalyptic number.

8200872768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8200872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071524752).

8200872768 is an abundant number, since it is smaller than the sum of its proper divisors (15942176736).

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

8200872768 is a wasteful number, since it uses less digits than its factorization.

8200872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 8200872768 is about 90558.6703082593. The cubic root of 8200872768 is about 2016.6012158740.

The spelling of 8200872768 in words is "eight billion, two hundred million, eight hundred seventy-two thousand, seven hundred sixty-eight".