8022819840 has 704 divisors, whose sum is σ = 31693455360. Its totient is φ = 1692794880.

The previous prime is 8022819839. The next prime is 8022819841. The reversal of 8022819840 is 489182208.

It is an interprime number because it is at equal distance from previous prime (8022819839) and next prime (8022819841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8022819792 and 8022819801.

It is not an unprimeable number, because it can be changed into a prime (8022819841) 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, 96660439 + ... + 96660521.

Almost surely, 2^8022819840 is an apocalyptic number.

8022819840 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 8022819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846727680).

8022819840 is an abundant number, since it is smaller than the sum of its proper divisors (23670635520).

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

8022819840 is a wasteful number, since it uses less digits than its factorization.

8022819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8022819840 is about 89570.1950427708. The cubic root of 8022819840 is about 2001.8998480506.

The spelling of 8022819840 in words is "eight billion, twenty-two million, eight hundred nineteen thousand, eight hundred forty".