806292864 has 192 divisors, whose sum is σ = 2646483840. Its totient is φ = 233422848.

The previous prime is 806292859. The next prime is 806292913. The reversal of 806292864 is 468292608.

It is a tau number, because it is divible by the number of its divisors (192).

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, 253009 + ... + 256175.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2^806292864 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 806292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

806292864 is an abundant number, since it is smaller than the sum of its proper divisors (1840190976).

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

806292864 is a wasteful number, since it uses less digits than its factorization.

806292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 806292864 is about 28395.2965119225. The cubic root of 806292864 is about 930.7454862004.

The spelling of 806292864 in words is "eight hundred six million, two hundred ninety-two thousand, eight hundred sixty-four".