7820163400 has 96 divisors (see below), whose sum is σ = 21120166080. Its totient is φ = 2637216000.

The previous prime is 7820163397. The next prime is 7820163401. The reversal of 7820163400 is 43610287.

It is a super-2 number, since 2×7820163400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7820163401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39615 + ... + 131185.

It is an arithmetic number, because the mean of its divisors is an integer number (220001730).

Almost surely, 2^7820163400 is an apocalyptic number.

7820163400 is a gapful number since it is divisible by the number (70) 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 7820163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560083040).

7820163400 is an abundant number, since it is smaller than the sum of its proper divisors (13300002680).

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

7820163400 is a wasteful number, since it uses less digits than its factorization.

7820163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91655 (or 91646 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7820163400 is about 88431.6877595356. The cubic root of 7820163400 is about 1984.8998970303.

Adding to 7820163400 its reverse (43610287), we get a palindrome (7863773687).

The spelling of 7820163400 in words is "seven billion, eight hundred twenty million, one hundred sixty-three thousand, four hundred".