800502405264 has 225 divisors, whose sum is σ = 2402336941147. Its totient is φ = 257332336128.

The previous prime is 800502405259. The next prime is 800502405271. The reversal of 800502405264 is 462504205008.

It is a happy number.

The square root of 800502405264 is 894708.

It is a perfect power (a square), and thus also a powerful number.

800502405264 is a `hidden beast` number, since 8 + 0 + 0 + 502 + 40 + 52 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208538355600 + 591964049664 = 456660^2 + 769392^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 934074724 + ... + 934075580.

Almost surely, 2^800502405264 is an apocalyptic number.

800502405264 is the 894708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800502405264

800502405264 is an abundant number, since it is smaller than the sum of its proper divisors (1601834535883).

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

800502405264 is an frugal number, since it uses more digits than its factorization.

800502405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 800502405264 by its sum of digits (36), we get a square (28818086589504 = 5368248²).

800502405264 divided by its sum of digits (36) gives a square (22236177924 = 149118²).

The spelling of 800502405264 in words is "eight hundred billion, five hundred two million, four hundred five thousand, two hundred sixty-four".