7887953920 has 448 divisors, whose sum is σ = 24572927232. Its totient is φ = 2359296000.

The previous prime is 7887953917. The next prime is 7887953921. The reversal of 7887953920 is 293597887.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (7887953921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129310690 + ... + 129310750.

It is an arithmetic number, because the mean of its divisors is an integer number (54850284).

Almost surely, 2^7887953920 is an apocalyptic number.

7887953920 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 7887953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286463616).

7887953920 is an abundant number, since it is smaller than the sum of its proper divisors (16684973312).

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

7887953920 is a wasteful number, since it uses less digits than its factorization.

7887953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The square root of 7887953920 is about 88814.1538269661. The cubic root of 7887953920 is about 1990.6188928801.

The spelling of 7887953920 in words is "seven billion, eight hundred eighty-seven million, nine hundred fifty-three thousand, nine hundred twenty".