7871460480 has 384 divisors, whose sum is σ = 30225162240. Its totient is φ = 1874534400.

The previous prime is 7871460463. The next prime is 7871460491. The reversal of 7871460480 is 840641787.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2319585 + ... + 2322975.

It is an arithmetic number, because the mean of its divisors is an integer number (78711360).

Almost surely, 2^7871460480 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 7871460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112581120).

7871460480 is an abundant number, since it is smaller than the sum of its proper divisors (22353701760).

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

7871460480 is a wasteful number, since it uses less digits than its factorization.

7871460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7871460480 is about 88721.2515691703. The cubic root of 7871460480 is about 1989.2304862092.

The spelling of 7871460480 in words is "seven billion, eight hundred seventy-one million, four hundred sixty thousand, four hundred eighty".