842332800 has 96 divisors (see below), whose sum is σ = 2774465280. Its totient is φ = 224619520.

The previous prime is 842332747. The next prime is 842332819. The reversal of 842332800 is 8233248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34272 + ... + 53471.

It is an arithmetic number, because the mean of its divisors is an integer number (28900680).

Almost surely, 2^842332800 is an apocalyptic number.

842332800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842332800 is an abundant number, since it is smaller than the sum of its proper divisors (1932132480).

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

842332800 is a wasteful number, since it uses less digits than its factorization.

842332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87770 (or 87753 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 842332800 is about 29022.9702132638. The cubic root of 842332800 is about 944.4114360885.

The spelling of 842332800 in words is "eight hundred forty-two million, three hundred thirty-two thousand, eight hundred".