806573376 has 336 divisors, whose sum is σ = 2840248320. Its totient is φ = 222082560.

The previous prime is 806573371. The next prime is 806573399. The reversal of 806573376 is 673375608.

806573376 is a `hidden beast` number, since 8 + 0 + 6 + 573 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×806573376² = 1301121221744074752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806573371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374665 + ... + 3374903.

It is an arithmetic number, because the mean of its divisors is an integer number (8453120).

Almost surely, 2^806573376 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 806573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420124160).

806573376 is an abundant number, since it is smaller than the sum of its proper divisors (2033674944).

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

806573376 is a wasteful number, since it uses less digits than its factorization.

806573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 806573376 is about 28400.2354919814. The cubic root of 806573376 is about 930.8534101810.

The spelling of 806573376 in words is "eight hundred six million, five hundred seventy-three thousand, three hundred seventy-six".