842975760 has 160 divisors (see below), whose sum is σ = 2974952448. Its totient is φ = 195458560.

The previous prime is 842975743. The next prime is 842975761. The reversal of 842975760 is 67579248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (842975761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53779 + ... + 67661.

Almost surely, 2^842975760 is an apocalyptic number.

842975760 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 842975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487476224).

842975760 is an abundant number, since it is smaller than the sum of its proper divisors (2131976688).

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

842975760 is a wasteful number, since it uses less digits than its factorization.

842975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 842975760 is about 29034.0448439414. The cubic root of 842975760 is about 944.6516674808.

The spelling of 842975760 in words is "eight hundred forty-two million, nine hundred seventy-five thousand, seven hundred sixty".