802020240 has 360 divisors, whose sum is σ = 3175511040. Its totient is φ = 180859392.

The previous prime is 802020239. The next prime is 802020257. The reversal of 802020240 is 42020208.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4480471 + ... + 4480649.

It is an arithmetic number, because the mean of its divisors is an integer number (8820864).

Almost surely, 2^802020240 is an apocalyptic number.

802020240 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 802020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

802020240 is an abundant number, since it is smaller than the sum of its proper divisors (2373490800).

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

802020240 is a wasteful number, since it uses less digits than its factorization.

802020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 802020240 is about 28319.9618643811. The cubic root of 802020240 is about 929.0985368168.

Adding to 802020240 its reverse (42020208), we get a palindrome (844040448).

The spelling of 802020240 in words is "eight hundred two million, twenty thousand, two hundred forty".