8307801216 has 768 divisors, whose sum is σ = 30474662400. Its totient is φ = 2136637440.

The previous prime is 8307801199. The next prime is 8307801217. The reversal of 8307801216 is 6121087038.

It is a super-2 number, since 2×8307801216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8307801217) 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 95 ways as a sum of consecutive naturals, for example, 176761705 + ... + 176761751.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^8307801216 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 8307801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237331200).

8307801216 is an abundant number, since it is smaller than the sum of its proper divisors (22166861184).

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

8307801216 is a wasteful number, since it uses less digits than its factorization.

8307801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8307801216 is about 91147.1404707794. The cubic root of 8307801216 is about 2025.3279936934.

The spelling of 8307801216 in words is "eight billion, three hundred seven million, eight hundred one thousand, two hundred sixteen".