7887387312 has 360 divisors, whose sum is σ = 28042996800. Its totient is φ = 2133952128.

The previous prime is 7887387307. The next prime is 7887387323. The reversal of 7887387312 is 2137837887.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3618639 + ... + 3620817.

Almost surely, 2^7887387312 is an apocalyptic number.

7887387312 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 7887387312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021498400).

7887387312 is an abundant number, since it is smaller than the sum of its proper divisors (20155609488).

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

7887387312 is a wasteful number, since it uses less digits than its factorization.

7887387312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2210 counting only the distinct ones).

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

The square root of 7887387312 is about 88810.9639177506. The cubic root of 7887387312 is about 1990.5712283185.

The spelling of 7887387312 in words is "seven billion, eight hundred eighty-seven million, three hundred eighty-seven thousand, three hundred twelve".