820273200 has 120 divisors (see below), whose sum is σ = 2634646848. Its totient is φ = 218154240.

The previous prime is 820273193. The next prime is 820273229. The reversal of 820273200 is 2372028.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626947 + ... + 628253.

Almost surely, 2^820273200 is an apocalyptic number.

820273200 is a gapful number since it is divisible by the number (80) 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 820273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317323424).

820273200 is an abundant number, since it is smaller than the sum of its proper divisors (1814373648).

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

820273200 is a wasteful number, since it uses less digits than its factorization.

820273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 820273200 is about 28640.4120082097. The cubic root of 820273200 is about 936.0940989478.

The spelling of 820273200 in words is "eight hundred twenty million, two hundred seventy-three thousand, two hundred".