842829120 has 336 divisors, whose sum is σ = 3355043328. Its totient is φ = 190218240.

The previous prime is 842829109. The next prime is 842829133. The reversal of 842829120 is 21928248.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1955305 + ... + 1955735.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^842829120 is an apocalyptic number.

842829120 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 842829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677521664).

842829120 is an abundant number, since it is smaller than the sum of its proper divisors (2512214208).

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

842829120 is a wasteful number, since it uses less digits than its factorization.

842829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 842829120 is about 29031.5194228618. The cubic root of 842829120 is about 944.5968886207.

The spelling of 842829120 in words is "eight hundred forty-two million, eight hundred twenty-nine thousand, one hundred twenty".