840157920 has 480 divisors, whose sum is σ = 3472791840. Its totient is φ = 192036096.

The previous prime is 840157891. The next prime is 840157931. The reversal of 840157920 is 29751048.

840157920 is a `hidden beast` number, since 84 + 0 + 1 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120022557 + ... + 120022563.

It is an arithmetic number, because the mean of its divisors is an integer number (7234983).

Almost surely, 2^840157920 is an apocalyptic number.

840157920 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 840157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736395920).

840157920 is an abundant number, since it is smaller than the sum of its proper divisors (2632633920).

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

840157920 is an frugal number, since it uses more digits than its factorization.

840157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 840157920 is about 28985.4777431734. The cubic root of 840157920 is about 943.5979207895.

The spelling of 840157920 in words is "eight hundred forty million, one hundred fifty-seven thousand, nine hundred twenty".