820295100 has 108 divisors (see below), whose sum is σ = 2666476904. Its totient is φ = 218738880.

The previous prime is 820295081. The next prime is 820295117. The reversal of 820295100 is 1592028.

It is a tau number, because it is divible by the number of its divisors (108).

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 35 ways as a sum of consecutive naturals, for example, 7422 + ... + 41178.

Almost surely, 2^820295100 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 820295100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333238452).

820295100 is an abundant number, since it is smaller than the sum of its proper divisors (1846181804).

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

820295100 is a wasteful number, since it uses less digits than its factorization.

820295100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33786 (or 33767 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 820295100 is about 28640.7943325600. The cubic root of 820295100 is about 936.1024296188.

The spelling of 820295100 in words is "eight hundred twenty million, two hundred ninety-five thousand, one hundred".