842914800 has 720 divisors, whose sum is σ = 3761092608. Its totient is φ = 170035200.

The previous prime is 842914781. The next prime is 842914811. The reversal of 842914800 is 8419248.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 10155559 + ... + 10155641.

Almost surely, 2^842914800 is an apocalyptic number.

842914800 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 842914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880546304).

842914800 is an abundant number, since it is smaller than the sum of its proper divisors (2918177808).

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

842914800 is a wasteful number, since it uses less digits than its factorization.

842914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 842914800 is about 29032.9950229045. The cubic root of 842914800 is about 944.6288960257.

The spelling of 842914800 in words is "eight hundred forty-two million, nine hundred fourteen thousand, eight hundred".