7822418220 has 216 divisors, whose sum is σ = 25058438496. Its totient is φ = 1974905856.

The previous prime is 7822418213. The next prime is 7822418251. The reversal of 7822418220 is 228142287.

It is a super-2 number, since 2×7822418220² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10759497 + ... + 10760223.

Almost surely, 2^7822418220 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 7822418220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529219248).

7822418220 is an abundant number, since it is smaller than the sum of its proper divisors (17236020276).

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

7822418220 is a wasteful number, since it uses less digits than its factorization.

7822418220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7822418220 is about 88444.4357774982. The cubic root of 7822418220 is about 1985.0906501587.

The spelling of 7822418220 in words is "seven billion, eight hundred twenty-two million, four hundred eighteen thousand, two hundred twenty".