842122764 has 192 divisors, whose sum is σ = 2622412800. Its totient is φ = 228614400.

The previous prime is 842122763. The next prime is 842122811. The reversal of 842122764 is 467221248.

842122764 is a `hidden beast` number, since 8 + 421 + 227 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842122763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1556334 + ... + 1556874.

It is an arithmetic number, because the mean of its divisors is an integer number (13658400).

Almost surely, 2^842122764 is an apocalyptic number.

842122764 is a gapful number since it is divisible by the number (84) 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 842122764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311206400).

842122764 is an abundant number, since it is smaller than the sum of its proper divisors (1780290036).

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

842122764 is a wasteful number, since it uses less digits than its factorization.

842122764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

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

The square root of 842122764 is about 29019.3515434098. The cubic root of 842122764 is about 944.3329331144.

The spelling of 842122764 in words is "eight hundred forty-two million, one hundred twenty-two thousand, seven hundred sixty-four".