842320080 has 640 divisors, whose sum is σ = 3664051200. Its totient is φ = 173408256.

The previous prime is 842320079. The next prime is 842320081. The reversal of 842320080 is 80023248.

It is an interprime number because it is at equal distance from previous prime (842320079) and next prime (842320081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842320081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7454104 + ... + 7454216.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2^842320080 is an apocalyptic number.

842320080 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 842320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

842320080 is an abundant number, since it is smaller than the sum of its proper divisors (2821731120).

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

842320080 is a wasteful number, since it uses less digits than its factorization.

842320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 842320080 is about 29022.7510756648. The cubic root of 842320080 is about 944.4066822374.

The spelling of 842320080 in words is "eight hundred forty-two million, three hundred twenty thousand, eighty".