80802120 has 256 divisors, whose sum is σ = 298598400. Its totient is φ = 17095680.

The previous prime is 80802101. The next prime is 80802143. The reversal of 80802120 is 2120808.

It is a Cunningham number, because it is equal to 8989²-1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755107 + ... + 755213.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^80802120 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 80802120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

80802120 is an abundant number, since it is smaller than the sum of its proper divisors (217796280).

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

80802120 is a wasteful number, since it uses less digits than its factorization.

80802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 80802120 is about 8988.9999443765. Note that the first 4 decimals coincide. The cubic root of 80802120 is about 432.3222475590.

Adding to 80802120 its reverse (2120808), we get a palindrome (82922928).

The spelling of 80802120 in words is "eighty million, eight hundred two thousand, one hundred twenty".