7822900800 has 1008 divisors, whose sum is σ = 34049695680. Its totient is φ = 1677312000.

The previous prime is 7822900781. The next prime is 7822900807. The reversal of 7822900800 is 80092287.

It is a super-2 number, since 2×7822900800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7822900807) 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 143 ways as a sum of consecutive naturals, for example, 59716735 + ... + 59716865.

It is an arithmetic number, because the mean of its divisors is an integer number (33779460).

Almost surely, 2^7822900800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7822900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024847840).

7822900800 is an abundant number, since it is smaller than the sum of its proper divisors (26226794880).

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

7822900800 is a wasteful number, since it uses less digits than its factorization.

7822900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7822900800 is about 88447.1638889569. The cubic root of 7822900800 is about 1985.1314706705.

The spelling of 7822900800 in words is "seven billion, eight hundred twenty-two million, nine hundred thousand, eight hundred".