802668480 has 112 divisors (see below), whose sum is σ = 2610758304. Its totient is φ = 208814080.

The previous prime is 802668463. The next prime is 802668499. The reversal of 802668480 is 84866208.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29164 + ... + 49556.

It is an arithmetic number, because the mean of its divisors is an integer number (23310342).

Almost surely, 2^802668480 is an apocalyptic number.

802668480 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 802668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305379152).

802668480 is an abundant number, since it is smaller than the sum of its proper divisors (1808089824).

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

802668480 is a wasteful number, since it uses less digits than its factorization.

802668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 802668480 is about 28331.4044833644. The cubic root of 802668480 is about 929.3487867949.

The spelling of 802668480 in words is "eight hundred two million, six hundred sixty-eight thousand, four hundred eighty".