7880209920 has 960 divisors, whose sum is σ = 33092167680. Its totient is φ = 1710489600.

The previous prime is 7880209873. The next prime is 7880209921. The reversal of 7880209920 is 299020887.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7880209921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133562851 + ... + 133562909.

It is an arithmetic number, because the mean of its divisors is an integer number (34471008).

Almost surely, 2^7880209920 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 7880209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

7880209920 is an abundant number, since it is smaller than the sum of its proper divisors (25211957760).

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

7880209920 is a wasteful number, since it uses less digits than its factorization.

7880209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7880209920 is about 88770.5464667195. The cubic root of 7880209920 is about 1989.9672494463.

The spelling of 7880209920 in words is "seven billion, eight hundred eighty million, two hundred nine thousand, nine hundred twenty".