802545120 has 288 divisors, whose sum is σ = 3020969952. Its totient is φ = 192761856.

The previous prime is 802545103. The next prime is 802545151. The reversal of 802545120 is 21545208.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804462 + ... + 805458.

It is an arithmetic number, because the mean of its divisors is an integer number (10489479).

Almost surely, 2^802545120 is an apocalyptic number.

802545120 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 802545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510484976).

802545120 is an abundant number, since it is smaller than the sum of its proper divisors (2218424832).

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

802545120 is a wasteful number, since it uses less digits than its factorization.

802545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 802545120 is about 28329.2273103239. The cubic root of 802545120 is about 929.3011746350.

The spelling of 802545120 in words is "eight hundred two million, five hundred forty-five thousand, one hundred twenty".