805068264 has 512 divisors, whose sum is σ = 2972712960. Its totient is φ = 174873600.

The previous prime is 805068259. The next prime is 805068283. The reversal of 805068264 is 462860508.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 17129089 + ... + 17129135.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2^805068264 is an apocalyptic number.

805068264 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 805068264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486356480).

805068264 is an abundant number, since it is smaller than the sum of its proper divisors (2167644696).

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

805068264 is a wasteful number, since it uses less digits than its factorization.

805068264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 805068264 is about 28373.7248876491. The cubic root of 805068264 is about 930.2740411048.

The spelling of 805068264 in words is "eight hundred five million, sixty-eight thousand, two hundred sixty-four".