802982880 has 288 divisors, whose sum is σ = 3217765824. Its totient is φ = 178495488.

The previous prime is 802982857. The next prime is 802982881. The reversal of 802982880 is 88289208.

802982880 is a `hidden beast` number, since 80 + 298 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802982881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371884 + ... + 374036.

It is an arithmetic number, because the mean of its divisors is an integer number (11172798).

Almost surely, 2^802982880 is an apocalyptic number.

802982880 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 802982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608882912).

802982880 is an abundant number, since it is smaller than the sum of its proper divisors (2414782944).

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

802982880 is a wasteful number, since it uses less digits than its factorization.

802982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 802982880 is about 28336.9525531593. The cubic root of 802982880 is about 929.4701109052.

It can be divided in two parts, 8029 and 82880, that added together give a palindrome (90909).

The spelling of 802982880 in words is "eight hundred two million, nine hundred eighty-two thousand, eight hundred eighty".