802447506 has 96 divisors (see below), whose sum is σ = 2130952320. Its totient is φ = 219247776.

The previous prime is 802447441. The next prime is 802447537. The reversal of 802447506 is 605744208.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197956 + ... + 201968.

It is an arithmetic number, because the mean of its divisors is an integer number (22197420).

Almost surely, 2^802447506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802447506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065476160).

802447506 is an abundant number, since it is smaller than the sum of its proper divisors (1328504814).

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

802447506 is a wasteful number, since it uses less digits than its factorization.

802447506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 802447506 is about 28327.5044082602. The cubic root of 802447506 is about 929.2634959714.

The spelling of 802447506 in words is "eight hundred two million, four hundred forty-seven thousand, five hundred six".