7882442820 has 108 divisors (see below), whose sum is σ = 27813793644. Its totient is φ = 1801699200.

The previous prime is 7882442779. The next prime is 7882442873. The reversal of 7882442820 is 282442887.

It can be written as a sum of positive squares in 2 ways, for example, as 6129010944 + 1753431876 = 78288^2 + 41874^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 438031 + ... + 455670.

Almost surely, 2^7882442820 is an apocalyptic number.

7882442820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7882442820 is an abundant number, since it is smaller than the sum of its proper divisors (19931350824).

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

7882442820 is a wasteful number, since it uses less digits than its factorization.

7882442820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893730 (or 893718 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 7882442820 is about 88783.1223825790. The cubic root of 7882442820 is about 1990.1551876821.

The spelling of 7882442820 in words is "seven billion, eight hundred eighty-two million, four hundred forty-two thousand, eight hundred twenty".