803362560 has 864 divisors, whose sum is σ = 3653690880. Its totient is φ = 145981440.

The previous prime is 803362559. The next prime is 803362589. The reversal of 803362560 is 65263308.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42282231 + ... + 42282249.

Almost surely, 2^803362560 is an apocalyptic number.

803362560 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 803362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826845440).

803362560 is an abundant number, since it is smaller than the sum of its proper divisors (2850328320).

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

803362560 is a wasteful number, since it uses less digits than its factorization.

803362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 803362560 is about 28343.6511409522. The cubic root of 803362560 is about 929.6165837685.

It can be divided in two parts, 803 and 362560, that added together give a palindrome (363363).

The spelling of 803362560 in words is "eight hundred three million, three hundred sixty-two thousand, five hundred sixty".