802890144 has 480 divisors, whose sum is σ = 3029685120. Its totient is φ = 203046912.

The previous prime is 802890139. The next prime is 802890157. The reversal of 802890144 is 441098208.

802890144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 802890099 and 802890108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5860444 + ... + 5860580.

It is an arithmetic number, because the mean of its divisors is an integer number (6311844).

Almost surely, 2^802890144 is an apocalyptic number.

802890144 is a gapful number since it is divisible by the number (84) 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 802890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514842560).

802890144 is an abundant number, since it is smaller than the sum of its proper divisors (2226794976).

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

802890144 is a wasteful number, since it uses less digits than its factorization.

802890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 802890144 is about 28335.3161972829. The cubic root of 802890144 is about 929.4343282168.

The spelling of 802890144 in words is "eight hundred two million, eight hundred ninety thousand, one hundred forty-four".