802286100 has 576 divisors, whose sum is σ = 3419781120. Its totient is φ = 156211200.

The previous prime is 802286063. The next prime is 802286129. The reversal of 802286100 is 1682208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3534187 + ... + 3534413.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^802286100 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 802286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

802286100 is an abundant number, since it is smaller than the sum of its proper divisors (2617495020).

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

802286100 is a wasteful number, since it uses less digits than its factorization.

802286100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 802286100 is about 28324.6553377089. The cubic root of 802286100 is about 929.2011871141.

The spelling of 802286100 in words is "eight hundred two million, two hundred eighty-six thousand, one hundred".