806474760 has 512 divisors, whose sum is σ = 3290112000. Its totient is φ = 154192896.

The previous prime is 806474723. The next prime is 806474807. The reversal of 806474760 is 67474608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35064109 + ... + 35064131.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^806474760 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 806474760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

806474760 is an abundant number, since it is smaller than the sum of its proper divisors (2483637240).

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

806474760 is a wasteful number, since it uses less digits than its factorization.

806474760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 806474760 is about 28398.4992561227. The cubic root of 806474760 is about 930.8154715862.

The spelling of 806474760 in words is "eight hundred six million, four hundred seventy-four thousand, seven hundred sixty".