7836208380 has 1152 divisors, whose sum is σ = 35392896000. Its totient is φ = 1410877440.

The previous prime is 7836208363. The next prime is 7836208403. The reversal of 7836208380 is 838026387.

It is a super-2 number, since 2×7836208380² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 71891766 + ... + 71891874.

It is an arithmetic number, because the mean of its divisors is an integer number (30723000).

Almost surely, 2^7836208380 is an apocalyptic number.

7836208380 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 7836208380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448000).

7836208380 is an abundant number, since it is smaller than the sum of its proper divisors (27556687620).

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

7836208380 is a wasteful number, since it uses less digits than its factorization.

7836208380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7836208380 is about 88522.3609038982. The cubic root of 7836208380 is about 1986.2564723860.

The spelling of 7836208380 in words is "seven billion, eight hundred thirty-six million, two hundred eight thousand, three hundred eighty".