802017216 has 504 divisors, whose sum is σ = 3132514944. Its totient is φ = 190494720.

The previous prime is 802017193. The next prime is 802017241. The reversal of 802017216 is 612710208.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×802017216² = 1286463229520781312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 802017216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7495435 + ... + 7495541.

Almost surely, 2^802017216 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 802017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566257472).

802017216 is an abundant number, since it is smaller than the sum of its proper divisors (2330497728).

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

802017216 is a wasteful number, since it uses less digits than its factorization.

802017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 802017216 is about 28319.9084744284. The cubic root of 802017216 is about 929.0973691000.

The spelling of 802017216 in words is "eight hundred two million, seventeen thousand, two hundred sixteen".