7820884890 has 192 divisors, whose sum is σ = 25638342912. Its totient is φ = 1609804800.

The previous prime is 7820884873. The next prime is 7820884891. The reversal of 7820884890 is 984880287.

7820884890 is a `hidden beast` number, since 7 + 82 + 0 + 88 + 489 + 0 = 666.

It is a super-2 number, since 2×7820884890² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7820884891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324145 + ... + 347435.

It is an arithmetic number, because the mean of its divisors is an integer number (133533036).

Almost surely, 2^7820884890 is an apocalyptic number.

7820884890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7820884890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819171456).

7820884890 is an abundant number, since it is smaller than the sum of its proper divisors (17817458022).

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

7820884890 is a wasteful number, since it uses less digits than its factorization.

7820884890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23365 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 7820884890 is about 88435.7670289572. The cubic root of 7820884890 is about 1984.9609375872.

The spelling of 7820884890 in words is "seven billion, eight hundred twenty million, eight hundred eighty-four thousand, eight hundred ninety".