806690304 has 240 divisors, whose sum is σ = 2700228960. Its totient is φ = 227082240.

The previous prime is 806690279. The next prime is 806690323. The reversal of 806690304 is 403096608.

It is a super-2 number, since 2×806690304² = 1301498493135224832, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2870644 + ... + 2870924.

It is an arithmetic number, because the mean of its divisors is an integer number (11250954).

Almost surely, 2^806690304 is an apocalyptic number.

806690304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350114480).

806690304 is an abundant number, since it is smaller than the sum of its proper divisors (1893538656).

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

806690304 is a wasteful number, since it uses less digits than its factorization.

806690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 806690304 is about 28402.2939918592. The cubic root of 806690304 is about 930.8983895846.

The spelling of 806690304 in words is "eight hundred six million, six hundred ninety thousand, three hundred four".