842392320 has 648 divisors, whose sum is σ = 3532988592. Its totient is φ = 170311680.

The previous prime is 842392297. The next prime is 842392361. The reversal of 842392320 is 23293248.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22767342 + ... + 22767378.

Almost surely, 2^842392320 is an apocalyptic number.

842392320 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 842392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766494296).

842392320 is an abundant number, since it is smaller than the sum of its proper divisors (2690596272).

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

842392320 is a wasteful number, since it uses less digits than its factorization.

842392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 842392320 is about 29023.9955898563. The cubic root of 842392320 is about 944.4336798876.

The spelling of 842392320 in words is "eight hundred forty-two million, three hundred ninety-two thousand, three hundred twenty".