7887873312 has 336 divisors, whose sum is σ = 25879966560. Its totient is φ = 2345241600.

The previous prime is 7887873293. The next prime is 7887873317. The reversal of 7887873312 is 2133787887.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887873317) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15139612 + ... + 15140132.

It is an arithmetic number, because the mean of its divisors is an integer number (77023710).

Almost surely, 2^7887873312 is an apocalyptic number.

7887873312 is a gapful number since it is divisible by the number (72) 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 7887873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939983280).

7887873312 is an abundant number, since it is smaller than the sum of its proper divisors (17992093248).

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

7887873312 is a wasteful number, since it uses less digits than its factorization.

7887873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 596 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 7887873312 is about 88813.7000242643. The cubic root of 7887873312 is about 1990.6121120615.

The spelling of 7887873312 in words is "seven billion, eight hundred eighty-seven million, eight hundred seventy-three thousand, three hundred twelve".