802082148480 has 1024 divisors, whose sum is σ = 3146316480000. Its totient is φ = 192297369600.

The previous prime is 802082148473. The next prime is 802082148521. The reversal of 802082148480 is 84841280208.

802082148480 is a `hidden beast` number, since 8 + 0 + 20 + 8 + 2 + 148 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580797390 + ... + 580798770.

Almost surely, 2^802082148480 is an apocalyptic number.

802082148480 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 802082148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573158240000).

802082148480 is an abundant number, since it is smaller than the sum of its proper divisors (2344234331520).

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

802082148480 is a wasteful number, since it uses less digits than its factorization.

802082148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 802082148480 in words is "eight hundred two billion, eighty-two million, one hundred forty-eight thousand, four hundred eighty".