842956800 has 384 divisors, whose sum is σ = 3250536000. Its totient is φ = 192675840.

The previous prime is 842956799. The next prime is 842956837. The reversal of 842956800 is 8659248.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120422397 + ... + 120422403.

Almost surely, 2^842956800 is an apocalyptic number.

842956800 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 842956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625268000).

842956800 is an abundant number, since it is smaller than the sum of its proper divisors (2407579200).

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

842956800 is an frugal number, since it uses more digits than its factorization.

842956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 842956800 is about 29033.7183288672. The cubic root of 842956800 is about 944.6445851380.

Multiplying 842956800 by its sum of digits (42), we get a square (35404185600 = 188160²).

842956800 divided by its sum of digits (42) gives a square (20070400 = 4480²).

The spelling of 842956800 in words is "eight hundred forty-two million, nine hundred fifty-six thousand, eight hundred".