802722312 has 252 divisors, whose sum is σ = 2675516445. Its totient is φ = 225021888.

The previous prime is 802722311. The next prime is 802722329. The reversal of 802722312 is 213227208.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

802722312 is a `hidden beast` number, since 80 + 272 + 2 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 761428836 + 41293476 = 27594^2 + 6426^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20034.

It is a super-2 number, since 2×802722312² = 1288726220365250688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (802722311) 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 62 ways as a sum of consecutive naturals, for example, 15145678 + ... + 15145730.

Almost surely, 2^802722312 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 802722312

802722312 is an abundant number, since it is smaller than the sum of its proper divisors (1872794133).

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

802722312 is an equidigital number, since it uses as much as digits as its factorization.

802722312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 802722312 is about 28332.3545085826. The cubic root of 802722312 is about 929.3695623234.

The spelling of 802722312 in words is "eight hundred two million, seven hundred twenty-two thousand, three hundred twelve".