802278272 has 64 divisors (see below), whose sum is σ = 1725472800. Its totient is φ = 370427904.

The previous prime is 802278271. The next prime is 802278277. The reversal of 802278272 is 272872208.

802278272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802278271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80678 + ... + 90074.

Almost surely, 2^802278272 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 802278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862736400).

802278272 is an abundant number, since it is smaller than the sum of its proper divisors (923194528).

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

802278272 is a wasteful number, since it uses less digits than its factorization.

802278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 802278272 is about 28324.5171538722. The cubic root of 802278272 is about 929.1981649958.

The spelling of 802278272 in words is "eight hundred two million, two hundred seventy-eight thousand, two hundred seventy-two".