842265600 has 264 divisors, whose sum is σ = 3039844128. Its totient is φ = 203980800.

The previous prime is 842265577. The next prime is 842265601. The reversal of 842265600 is 6562248.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×842265600² = 1418822681886720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842265601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844302 + ... + 845298.

Almost surely, 2^842265600 is an apocalyptic number.

842265600 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 842265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519922064).

842265600 is an abundant number, since it is smaller than the sum of its proper divisors (2197578528).

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

842265600 is a wasteful number, since it uses less digits than its factorization.

842265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 842265600 is about 29021.8124864730. The cubic root of 842265600 is about 944.3863208623.

The spelling of 842265600 in words is "eight hundred forty-two million, two hundred sixty-five thousand, six hundred".