7828130820 has 48 divisors (see below), whose sum is σ = 22453377408. Its totient is φ = 2036586240.

The previous prime is 7828130809. The next prime is 7828130851. The reversal of 7828130820 is 280318287.

It is a super-2 number, since 2×7828130820² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588624 + ... + 1593543.

It is an arithmetic number, because the mean of its divisors is an integer number (467778696).

Almost surely, 2^7828130820 is an apocalyptic number.

It is an amenable number.

7828130820 is an abundant number, since it is smaller than the sum of its proper divisors (14625246588).

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

7828130820 is a wasteful number, since it uses less digits than its factorization.

7828130820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182220 (or 3182218 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 7828130820 is about 88476.7247359440. The cubic root of 7828130820 is about 1985.5737603326.

It can be divided in two parts, 78281308 and 20, that added together give a triangular number (78281328 = T₁₂₅₁₂).

The spelling of 7828130820 in words is "seven billion, eight hundred twenty-eight million, one hundred thirty thousand, eight hundred twenty".