802991800 has 144 divisors (see below), whose sum is σ = 2068695720. Its totient is φ = 288115200.

The previous prime is 802991689. The next prime is 802991807. The reversal of 802991800 is 8199208.

It is a self number, because there is not a number n which added to its sum of digits gives 802991800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802991807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9674559 + ... + 9674641.

Almost surely, 2^802991800 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 802991800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034347860).

802991800 is an abundant number, since it is smaller than the sum of its proper divisors (1265703920).

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

802991800 is a wasteful number, since it uses less digits than its factorization.

802991800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 802991800 is about 28337.1099443821. The cubic root of 802991800 is about 929.4735525903.

The spelling of 802991800 in words is "eight hundred two million, nine hundred ninety-one thousand, eight hundred".