802386816 has 192 divisors, whose sum is σ = 2678471040. Its totient is φ = 208327680.

The previous prime is 802386779. The next prime is 802386817. The reversal of 802386816 is 618683208.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802386817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324015 + ... + 326481.

It is an arithmetic number, because the mean of its divisors is an integer number (13950370).

Almost surely, 2^802386816 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 802386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339235520).

802386816 is an abundant number, since it is smaller than the sum of its proper divisors (1876084224).

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

802386816 is a wasteful number, since it uses less digits than its factorization.

802386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 802386816 is about 28326.4331676263. The cubic root of 802386816 is about 929.2400683025.

The spelling of 802386816 in words is "eight hundred two million, three hundred eighty-six thousand, eight hundred sixteen".