807165216 has 384 divisors, whose sum is σ = 2844979200. Its totient is φ = 219386880.

The previous prime is 807165209. The next prime is 807165217. The reversal of 807165216 is 612561708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807165217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5806875 + ... + 5807013.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^807165216 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 807165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422489600).

807165216 is an abundant number, since it is smaller than the sum of its proper divisors (2037813984).

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

807165216 is a wasteful number, since it uses less digits than its factorization.

807165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 807165216 is about 28410.6532131875. The cubic root of 807165216 is about 931.0810322030.

The spelling of 807165216 in words is "eight hundred seven million, one hundred sixty-five thousand, two hundred sixteen".