802228977792 has 216 divisors, whose sum is σ = 2538497492895. Its totient is φ = 242998356480.

The previous prime is 802228977791. The next prime is 802228977853. The reversal of 802228977792 is 297779822208.

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.

It can be written as a sum of positive squares in only one way, i.e., 401114488896 + 401114488896 = 633336^2 + 633336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=633336.

It is not an unprimeable number, because it can be changed into a prime (802228977791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334400209 + ... + 334402607.

Almost surely, 2^802228977792 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 802228977792

802228977792 is an abundant number, since it is smaller than the sum of its proper divisors (1736268515103).

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

802228977792 is an equidigital number, since it uses as much as digits as its factorization.

802228977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 802228977792 in words is "eight hundred two billion, two hundred twenty-eight million, nine hundred seventy-seven thousand, seven hundred ninety-two".