842288800 has 72 divisors (see below), whose sum is σ = 2177227836. Its totient is φ = 317091840.

The previous prime is 842288767. The next prime is 842288803. The reversal of 842288800 is 8882248.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 401120784 + 441168016 = 20028^2 + 21004^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (842288803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17367 + ... + 44566.

Almost surely, 2^842288800 is an apocalyptic number.

842288800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842288800 is an abundant number, since it is smaller than the sum of its proper divisors (1334939036).

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

842288800 is a wasteful number, since it uses less digits than its factorization.

842288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61970 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 842288800 is about 29022.2121830849. The cubic root of 842288800 is about 944.3949917461.

The spelling of 842288800 in words is "eight hundred forty-two million, two hundred eighty-eight thousand, eight hundred".