8351879760 has 320 divisors, whose sum is σ = 33768076800. Its totient is φ = 1857282048.

The previous prime is 8351879749. The next prime is 8351879771. The reversal of 8351879760 is 679781538.

It is an interprime number because it is at equal distance from previous prime (8351879749) and next prime (8351879771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8351879697 and 8351879706.

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 63 ways as a sum of consecutive naturals, for example, 551976 + ... + 566904.

It is an arithmetic number, because the mean of its divisors is an integer number (105525240).

Almost surely, 2^8351879760 is an apocalyptic number.

8351879760 is a gapful number since it is divisible by the number (80) 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 8351879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884038400).

8351879760 is an abundant number, since it is smaller than the sum of its proper divisors (25416197040).

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

8351879760 is a wasteful number, since it uses less digits than its factorization.

8351879760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 8351879760 is about 91388.6194227706. The cubic root of 8351879760 is about 2028.9035922953.

The spelling of 8351879760 in words is "eight billion, three hundred fifty-one million, eight hundred seventy-nine thousand, seven hundred sixty".