802865920 has 72 divisors (see below), whose sum is σ = 1927974384. Its totient is φ = 320335872.

The previous prime is 802865909. The next prime is 802865929. The reversal of 802865920 is 29568208.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (802865929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006962 + ... + 1007758.

It is an arithmetic number, because the mean of its divisors is an integer number (26777422).

Almost surely, 2^802865920 is an apocalyptic number.

802865920 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 802865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963987192).

802865920 is an abundant number, since it is smaller than the sum of its proper divisors (1125108464).

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

802865920 is an equidigital number, since it uses as much as digits as its factorization.

802865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 802865920 is about 28334.8887416203. Note that the first 3 decimals coincide. The cubic root of 802865920 is about 929.4249808012.

The spelling of 802865920 in words is "eight hundred two million, eight hundred sixty-five thousand, nine hundred twenty".