806412672 has 320 divisors, whose sum is σ = 2681669760. Its totient is φ = 238878720.

The previous prime is 806412661. The next prime is 806412689. The reversal of 806412672 is 276214608.

806412672 is a `hidden beast` number, since 8 + 0 + 641 + 2 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4178208 + ... + 4178400.

It is an arithmetic number, because the mean of its divisors is an integer number (8380218).

Almost surely, 2^806412672 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 806412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340834880).

806412672 is an abundant number, since it is smaller than the sum of its proper divisors (1875257088).

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

806412672 is a wasteful number, since it uses less digits than its factorization.

806412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 806412672 is about 28397.4060787249. The cubic root of 806412672 is about 930.7915841041.

It can be divided in two parts, 8064 and 12672, that added together give a 4-th power (20736 = 12⁴).

The spelling of 806412672 in words is "eight hundred six million, four hundred twelve thousand, six hundred seventy-two".