802958016 has 224 divisors, whose sum is σ = 2541332992. Its totient is φ = 218972160.

The previous prime is 802957997. The next prime is 802958017. The reversal of 802958016 is 610859208.

802958016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (802958017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331656 + ... + 3331896.

Almost surely, 2^802958016 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 802958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270666496).

802958016 is an abundant number, since it is smaller than the sum of its proper divisors (1738374976).

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

802958016 is a wasteful number, since it uses less digits than its factorization.

802958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 802958016 is about 28336.5138293333. The cubic root of 802958016 is about 929.4605172663.

The spelling of 802958016 in words is "eight hundred two million, nine hundred fifty-eight thousand, sixteen".