7875480312 has 448 divisors, whose sum is σ = 26861568000. Its totient is φ = 2160406080.

The previous prime is 7875480307. The next prime is 7875480329. The reversal of 7875480312 is 2130845787.

7875480312 is a `hidden beast` number, since 78 + 7 + 548 + 0 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62011593 + ... + 62011719.

Almost surely, 2^7875480312 is an apocalyptic number.

7875480312 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 7875480312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430784000).

7875480312 is an abundant number, since it is smaller than the sum of its proper divisors (18986087688).

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

7875480312 is a wasteful number, since it uses less digits than its factorization.

7875480312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7875480312 is about 88743.9029567666. The cubic root of 7875480312 is about 1989.5690515688.

The spelling of 7875480312 in words is "seven billion, eight hundred seventy-five million, four hundred eighty thousand, three hundred twelve".