807216 has 40 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 264000.

The previous prime is 807203. The next prime is 807217. The reversal of 807216 is 612708.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807216.

It is not an unprimeable number, because it can be changed into a prime (807217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3091 + ... + 3341.

2⁸⁰⁷²¹⁶ 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 807216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432).

807216 is an abundant number, since it is smaller than the sum of its proper divisors (1317648).

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

807216 is a wasteful number, since it uses less digits than its factorization.

807216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 807216 is about 898.4520020569. The cubic root of 807216 is about 93.1100558576.

The spelling of 807216 in words is "eight hundred seven thousand, two hundred sixteen".