802054656 has 160 divisors (see below), whose sum is σ = 2557336320. Its totient is φ = 246730752.

The previous prime is 802054639. The next prime is 802054663. The reversal of 802054656 is 656450208.

It is a super-2 number, since 2×802054656² = 1286583342422556672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 802054656.

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 15 ways as a sum of consecutive naturals, for example, 177481 + ... + 181943.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 2^802054656 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 802054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

802054656 is an abundant number, since it is smaller than the sum of its proper divisors (1755281664).

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

802054656 is a wasteful number, since it uses less digits than its factorization.

802054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 802054656 is about 28320.5694857995. The cubic root of 802054656 is about 929.1118263392. Note that the first 3 decimals are identical.

The spelling of 802054656 in words is "eight hundred two million, fifty-four thousand, six hundred fifty-six".