842368800 has 864 divisors, whose sum is σ = 3740385600. Its totient is φ = 162570240.

The previous prime is 842368799. The next prime is 842368817. The reversal of 842368800 is 8863248.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29047186 + ... + 29047214.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 2^842368800 is an apocalyptic number.

842368800 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 842368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870192800).

842368800 is an abundant number, since it is smaller than the sum of its proper divisors (2898016800).

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

842368800 is a wasteful number, since it uses less digits than its factorization.

842368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 842368800 is about 29023.5904050481. The cubic root of 842368800 is about 944.4248901244.

The spelling of 842368800 in words is "eight hundred forty-two million, three hundred sixty-eight thousand, eight hundred".