807012 has 36 divisors (see below), whose sum is σ = 2113020. Its totient is φ = 259392.

The previous prime is 807011. The next prime is 807017. The reversal of 807012 is 210708.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 599076 = 456^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807012.

It is not an unprimeable number, because it can be changed into a prime (807011) 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 11 ways as a sum of consecutive naturals, for example, 658 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁸⁰⁷⁰¹² 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 807012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056510).

807012 is an abundant number, since it is smaller than the sum of its proper divisors (1306008).

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

807012 is a wasteful number, since it uses less digits than its factorization.

807012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 807012 is about 898.3384662809. The cubic root of 807012 is about 93.1022115913.

The spelling of 807012 in words is "eight hundred seven thousand, twelve".