7888890240 has 1024 divisors, whose sum is σ = 35838720000. Its totient is φ = 1639249920.

The previous prime is 7888890173. The next prime is 7888890253. The reversal of 7888890240 is 420988887.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 717171835 + ... + 717171845.

It is an arithmetic number, because the mean of its divisors is an integer number (34998750).

Almost surely, 2^7888890240 is an apocalyptic number.

7888890240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7888890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360000).

7888890240 is an abundant number, since it is smaller than the sum of its proper divisors (27949829760).

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

7888890240 is an equidigital number, since it uses as much as digits as its factorization.

7888890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 7888890240 is about 88819.4249024390. The cubic root of 7888890240 is about 1990.6976535895.

The spelling of 7888890240 in words is "seven billion, eight hundred eighty-eight million, eight hundred ninety thousand, two hundred forty".