7820395382800 has 1920 divisors, whose sum is σ = 27107640999936. Its totient is φ = 2107607040000.

The previous prime is 7820395382783. The next prime is 7820395382809. The reversal of 7820395382800 is 82835930287.

It is a super-2 number, since 2×7820395382800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (7820395382809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61577916337 + ... + 61577916463.

Almost surely, 2^{7820395382800} is an apocalyptic number.

7820395382800 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 7820395382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553820499968).

7820395382800 is an abundant number, since it is smaller than the sum of its proper divisors (19287245617136).

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

7820395382800 is a wasteful number, since it uses less digits than its factorization.

7820395382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 7820395382800 in words is "seven trillion, eight hundred twenty billion, three hundred ninety-five million, three hundred eighty-two thousand, eight hundred".