7922033280 has 768 divisors, whose sum is σ = 34217164800. Its totient is φ = 1710968832.

The previous prime is 7922033263. The next prime is 7922033281. The reversal of 7922033280 is 823302297.

It is a super-2 number, since 2×7922033280² (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 (7922033281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20683969 + ... + 20684351.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 2^7922033280 is an apocalyptic number.

7922033280 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 7922033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

7922033280 is an abundant number, since it is smaller than the sum of its proper divisors (26295131520).

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

7922033280 is a wasteful number, since it uses less digits than its factorization.

7922033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7922033280 is about 89005.8047545215. The cubic root of 7922033280 is about 1993.4815513276.

The spelling of 7922033280 in words is "seven billion, nine hundred twenty-two million, thirty-three thousand, two hundred eighty".