842849280 has 704 divisors, whose sum is σ = 3741588480. Its totient is φ = 175177728.

The previous prime is 842849269. The next prime is 842849281. The reversal of 842849280 is 82948248.

It is a happy number.

842849280 is a `hidden beast` number, since 84 + 2 + 8 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842849281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579807 + ... + 12579873.

Almost surely, 2^842849280 is an apocalyptic number.

842849280 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 842849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870794240).

842849280 is an abundant number, since it is smaller than the sum of its proper divisors (2898739200).

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

842849280 is a wasteful number, since it uses less digits than its factorization.

842849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 842849280 is about 29031.8666296193. The cubic root of 842849280 is about 944.6044199700.

The spelling of 842849280 in words is "eight hundred forty-two million, eight hundred forty-nine thousand, two hundred eighty".