806772 has 12 divisors (see below), whose sum is σ = 1882496. Its totient is φ = 268920.

The previous prime is 806761. The next prime is 806783. The reversal of 806772 is 277608.

It is an interprime number because it is at equal distance from previous prime (806761) and next prime (806783).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

806772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 33604 + ... + 33627.

2⁸⁰⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

806772 is an abundant number, since it is smaller than the sum of its proper divisors (1075724).

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

806772 is a wasteful number, since it uses less digits than its factorization.

806772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67238 (or 67236 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 806772 is about 898.2048764063. The cubic root of 806772 is about 93.0929813502.

The spelling of 806772 in words is "eight hundred six thousand, seven hundred seventy-two".