802705456 has 120 divisors (see below), whose sum is σ = 1931260320. Its totient is φ = 321140736.

The previous prime is 802705447. The next prime is 802705469. The reversal of 802705456 is 654507208.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3051981 + ... + 3052243.

It is an arithmetic number, because the mean of its divisors is an integer number (16093836).

Almost surely, 2^802705456 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 802705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965630160).

802705456 is an abundant number, since it is smaller than the sum of its proper divisors (1128554864).

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

802705456 is a wasteful number, since it uses less digits than its factorization.

802705456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 802705456 is about 28332.0570379208. The cubic root of 802705456 is about 929.3630571419.

The spelling of 802705456 in words is "eight hundred two million, seven hundred five thousand, four hundred fifty-six".