802640 has 40 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 314496.

The previous prime is 802609. The next prime is 802643. The reversal of 802640 is 46208.

802640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

802640 is a modest number, since divided by 2640 gives 80 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802643) by changing a digit.

802640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6257 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (47616).

2⁸⁰²⁶⁴⁰ is an apocalyptic number.

802640 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 802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

802640 is an abundant number, since it is smaller than the sum of its proper divisors (1102000).

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

802640 is a wasteful number, since it uses less digits than its factorization.

802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 802640 is about 895.9017803309. The cubic root of 802640 is about 92.9337795056.

Adding to 802640 its reverse (46208), we get a palindrome (848848).

The spelling of 802640 in words is "eight hundred two thousand, six hundred forty".