7821833040 has 200 divisors, whose sum is σ = 31047477120. Its totient is φ = 1787837184.

The previous prime is 7821833029. The next prime is 7821833083. The reversal of 7821833040 is 403381287.

7821833040 is a `hidden beast` number, since 78 + 218 + 330 + 40 = 666.

It is a super-2 number, since 2×7821833040² (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 a junction number, because it is equal to n+sod(n) for n = 7821832986 and 7821833004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 40860 + ... + 131579.

Almost surely, 2^7821833040 is an apocalyptic number.

7821833040 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 7821833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523738560).

7821833040 is an abundant number, since it is smaller than the sum of its proper divisors (23225644080).

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

7821833040 is a wasteful number, since it uses less digits than its factorization.

7821833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172471 (or 172456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7821833040 is about 88441.1275369101. The cubic root of 7821833040 is about 1985.0411486583.

The spelling of 7821833040 in words is "seven billion, eight hundred twenty-one million, eight hundred thirty-three thousand, forty".