7826120208 has 120 divisors (see below), whose sum is σ = 23701274688. Its totient is φ = 2495256192.

The previous prime is 7826120207. The next prime is 7826120209. The reversal of 7826120208 is 8020216287.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7826120207) and next prime (7826120209).

It is a super-2 number, since 2×7826120208² (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 (7826120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45666 + ... + 133182.

Almost surely, 2^7826120208 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 7826120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850637344).

7826120208 is an abundant number, since it is smaller than the sum of its proper divisors (15875154480).

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

7826120208 is a wasteful number, since it uses less digits than its factorization.

7826120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87563 (or 87545 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7826120208 is about 88465.3616281536. The cubic root of 7826120208 is about 1985.4037512392.

The spelling of 7826120208 in words is "seven billion, eight hundred twenty-six million, one hundred twenty thousand, two hundred eight".