842284800 has 324 divisors, whose sum is σ = 3443199760. Its totient is φ = 192430080.

The previous prime is 842284799. The next prime is 842284819. The reversal of 842284800 is 8482248.

It is a super-2 number, since 2×842284800² = 1418887368622080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 402156 + ... + 404244.

Almost surely, 2^842284800 is an apocalyptic number.

842284800 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 842284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721599880).

842284800 is an abundant number, since it is smaller than the sum of its proper divisors (2600914960).

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

842284800 is a wasteful number, since it uses less digits than its factorization.

842284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 842284800 is about 29022.1432702687. The cubic root of 842284800 is about 944.3934967775.

The spelling of 842284800 in words is "eight hundred forty-two million, two hundred eighty-four thousand, eight hundred".