7887602880 has 448 divisors, whose sum is σ = 29863572480. Its totient is φ = 1952759808.

The previous prime is 7887602869. The next prime is 7887602887. The reversal of 7887602880 is 882067887.

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

It is not an unprimeable number, because it can be changed into a prime (7887602887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12190717 + ... + 12191363.

It is an arithmetic number, because the mean of its divisors is an integer number (66659760).

Almost surely, 2^7887602880 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 7887602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931786240).

7887602880 is an abundant number, since it is smaller than the sum of its proper divisors (21975969600).

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

7887602880 is a wasteful number, since it uses less digits than its factorization.

7887602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 7887602880 is about 88812.1775433977. The cubic root of 7887602880 is about 1990.5893627371.

The spelling of 7887602880 in words is "seven billion, eight hundred eighty-seven million, six hundred two thousand, eight hundred eighty".