7820442420 has 48 divisors (see below), whose sum is σ = 25025417088. Its totient is φ = 1787529600.

The previous prime is 7820442373. The next prime is 7820442431. The reversal of 7820442420 is 242440287.

It is a super-2 number, since 2×7820442420² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 9309631 + ... + 9310470.

It is an arithmetic number, because the mean of its divisors is an integer number (521362856).

Almost surely, 2^7820442420 is an apocalyptic number.

7820442420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7820442420 is an abundant number, since it is smaller than the sum of its proper divisors (17204974668).

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

7820442420 is a wasteful number, since it uses less digits than its factorization.

7820442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18620120 (or 18620118 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 7820442420 is about 88433.2653473793. The cubic root of 7820442420 is about 1984.9235035354.

The spelling of 7820442420 in words is "seven billion, eight hundred twenty million, four hundred forty-two thousand, four hundred twenty".