802264320 has 432 divisors, whose sum is σ = 3267718272. Its totient is φ = 179159040.

The previous prime is 802264319. The next prime is 802264327. The reversal of 802264320 is 23462208.

802264320 is a `hidden beast` number, since 8 + 0 + 226 + 432 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802264327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647117 + ... + 1647603.

Almost surely, 2^802264320 is an apocalyptic number.

802264320 is a gapful number since it is divisible by the number (80) 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 802264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633859136).

802264320 is an abundant number, since it is smaller than the sum of its proper divisors (2465453952).

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

802264320 is a wasteful number, since it uses less digits than its factorization.

802264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 802264320 is about 28324.2708644018. The cubic root of 802264320 is about 929.1927785655.

The spelling of 802264320 in words is "eight hundred two million, two hundred sixty-four thousand, three hundred twenty".