8303002416 has 160 divisors (see below), whose sum is σ = 24263447040. Its totient is φ = 2717971200.

The previous prime is 8303002391. The next prime is 8303002439. The reversal of 8303002416 is 6142003038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8303002416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12912591 + ... + 12913233.

It is an arithmetic number, because the mean of its divisors is an integer number (151646544).

Almost surely, 2^8303002416 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 8303002416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131723520).

8303002416 is an abundant number, since it is smaller than the sum of its proper divisors (15960444624).

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

8303002416 is a wasteful number, since it uses less digits than its factorization.

8303002416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8303002416 is about 91120.8122000677. The cubic root of 8303002416 is about 2024.9379580443.

The spelling of 8303002416 in words is "eight billion, three hundred three million, two thousand, four hundred sixteen".