802109664 has 72 divisors (see below), whose sum is σ = 2302405560. Its totient is φ = 264860928.

The previous prime is 802109653. The next prime is 802109669. The reversal of 802109664 is 466901208.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802109669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17802 + ... + 43830.

It is an arithmetic number, because the mean of its divisors is an integer number (31977855).

Almost surely, 2^802109664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151202780).

802109664 is an abundant number, since it is smaller than the sum of its proper divisors (1500295896).

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

802109664 is a wasteful number, since it uses less digits than its factorization.

802109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26152 (or 26141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 802109664 is about 28321.5406360600. The cubic root of 802109664 is about 929.1330665438.

The spelling of 802109664 in words is "eight hundred two million, one hundred nine thousand, six hundred sixty-four".