7819680870 has 160 divisors (see below), whose sum is σ = 21812060160. Its totient is φ = 2007996480.

The previous prime is 7819680863. The next prime is 7819680923. The reversal of 7819680870 is 780869187.

It is a super-2 number, since 2×7819680870² (a number of 21 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 6000639 + ... + 6001941.

It is an arithmetic number, because the mean of its divisors is an integer number (136325376).

Almost surely, 2^7819680870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7819680870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906030080).

7819680870 is an abundant number, since it is smaller than the sum of its proper divisors (13992379290).

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

7819680870 is a wasteful number, since it uses less digits than its factorization.

7819680870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 7819680870 is about 88428.9594533375. The cubic root of 7819680870 is about 1984.8590712232.

The spelling of 7819680870 in words is "seven billion, eight hundred nineteen million, six hundred eighty thousand, eight hundred seventy".