8802312820 has 96 divisors (see below), whose sum is σ = 21329215488. Its totient is φ = 2988988032.

The previous prime is 8802312817. The next prime is 8802312823. The reversal of 8802312820 is 282132088.

It is an interprime number because it is at equal distance from previous prime (8802312817) and next prime (8802312823).

It is a super-2 number, since 2×8802312820² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8802312823) 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 31 ways as a sum of consecutive naturals, for example, 8954049 + ... + 8955031.

It is an arithmetic number, because the mean of its divisors is an integer number (222179328).

Almost surely, 2^8802312820 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 8802312820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664607744).

8802312820 is an abundant number, since it is smaller than the sum of its proper divisors (12526902668).

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

8802312820 is a wasteful number, since it uses less digits than its factorization.

8802312820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8802312820 is about 93820.6417586237. The cubic root of 8802312820 is about 2064.7410846224.

The spelling of 8802312820 in words is "eight billion, eight hundred two million, three hundred twelve thousand, eight hundred twenty".