802245360 has 320 divisors, whose sum is σ = 3069803520. Its totient is φ = 169205760.

The previous prime is 802245307. The next prime is 802245403. The reversal of 802245360 is 63542208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1308414 + ... + 1309026.

It is an arithmetic number, because the mean of its divisors is an integer number (9593136).

Almost surely, 2^802245360 is an apocalyptic number.

802245360 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 802245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534901760).

802245360 is an abundant number, since it is smaller than the sum of its proper divisors (2267558160).

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

802245360 is a wasteful number, since it uses less digits than its factorization.

802245360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 802245360 is about 28323.9361671361. The cubic root of 802245360 is about 929.1854586032.

Adding to 802245360 its reverse (63542208), we get a palindrome (865787568).

The spelling of 802245360 in words is "eight hundred two million, two hundred forty-five thousand, three hundred sixty".