7880243040 has 144 divisors (see below), whose sum is σ = 27070164576. Its totient is φ = 2087424000.

The previous prime is 7880242991. The next prime is 7880243071. The reversal of 7880243040 is 403420887.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7880242986 and 7880243004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199320 + ... + 235560.

It is an arithmetic number, because the mean of its divisors is an integer number (187987254).

Almost surely, 2^7880243040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7880243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535082288).

7880243040 is an abundant number, since it is smaller than the sum of its proper divisors (19189921536).

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

7880243040 is a wasteful number, since it uses less digits than its factorization.

7880243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36402 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7880243040 is about 88770.7330148850. The cubic root of 7880243040 is about 1989.9700373425.

The spelling of 7880243040 in words is "seven billion, eight hundred eighty million, two hundred forty-three thousand, forty".