802272480 has 192 divisors, whose sum is σ = 2619993600. Its totient is φ = 206198784.

The previous prime is 802272437. The next prime is 802272481. The reversal of 802272480 is 84272208.

It is a super-2 number, since 2×802272480² = 1287282264330700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802272481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534127 + ... + 3534353.

It is an arithmetic number, because the mean of its divisors is an integer number (13645800).

Almost surely, 2^802272480 is an apocalyptic number.

802272480 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 802272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309996800).

802272480 is an abundant number, since it is smaller than the sum of its proper divisors (1817721120).

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

802272480 is a wasteful number, since it uses less digits than its factorization.

802272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 802272480 is about 28324.4149101089. The cubic root of 802272480 is about 929.1959288936.

The spelling of 802272480 in words is "eight hundred two million, two hundred seventy-two thousand, four hundred eighty".