842382720 has 384 divisors, whose sum is σ = 3163428000. Its totient is φ = 211599360.

The previous prime is 842382701. The next prime is 842382769. The reversal of 842382720 is 27283248.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20545900 + ... + 20545940.

Almost surely, 2^842382720 is an apocalyptic number.

842382720 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 842382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581714000).

842382720 is an abundant number, since it is smaller than the sum of its proper divisors (2321045280).

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

842382720 is a wasteful number, since it uses less digits than its factorization.

842382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 842382720 is about 29023.8302089852. The cubic root of 842382720 is about 944.4300922489.

The spelling of 842382720 in words is "eight hundred forty-two million, three hundred eighty-two thousand, seven hundred twenty".