820846400 has 84 divisors (see below), whose sum is σ = 2203460160. Its totient is φ = 298483200.

The previous prime is 820846391. The next prime is 820846423. The reversal of 820846400 is 4648028.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5720 + ... + 40919.

Almost surely, 2^820846400 is an apocalyptic number.

820846400 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 820846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101730080).

820846400 is an abundant number, since it is smaller than the sum of its proper divisors (1382613760).

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

820846400 is a wasteful number, since it uses less digits than its factorization.

820846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46672 (or 46657 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 820846400 is about 28650.4170999307. The cubic root of 820846400 is about 936.3120930676.

The spelling of 820846400 in words is "eight hundred twenty million, eight hundred forty-six thousand, four hundred".