842378880 has 256 divisors, whose sum is σ = 3093292800. Its totient is φ = 191004672.

The previous prime is 842378879. The next prime is 842378881. The reversal of 842378880 is 88873248.

It is an interprime number because it is at equal distance from previous prime (842378879) and next prime (842378881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (842378881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3131386 + ... + 3131654.

It is an arithmetic number, because the mean of its divisors is an integer number (12083175).

Almost surely, 2^842378880 is an apocalyptic number.

842378880 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 842378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

842378880 is an abundant number, since it is smaller than the sum of its proper divisors (2250913920).

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

842378880 is a wasteful number, since it uses less digits than its factorization.

842378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 842378880 is about 29023.7640563728. The cubic root of 842378880 is about 944.4286571858.

The spelling of 842378880 in words is "eight hundred forty-two million, three hundred seventy-eight thousand, eight hundred eighty".