802203864 has 384 divisors, whose sum is σ = 2778316800. Its totient is φ = 188179200.

The previous prime is 802203847. The next prime is 802203869. The reversal of 802203864 is 468302208.

802203864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802203869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11973159 + ... + 11973225.

It is an arithmetic number, because the mean of its divisors is an integer number (7235200).

Almost surely, 2^802203864 is an apocalyptic number.

802203864 is a gapful number since it is divisible by the number (84) 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 802203864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389158400).

802203864 is an abundant number, since it is smaller than the sum of its proper divisors (1976112936).

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

802203864 is a wasteful number, since it uses less digits than its factorization.

802203864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 802203864 is about 28323.2036323577. The cubic root of 802203864 is about 929.1694376755.

The spelling of 802203864 in words is "eight hundred two million, two hundred three thousand, eight hundred sixty-four".