7870296960 has 320 divisors, whose sum is σ = 28314522720. Its totient is φ = 2083221504.

The previous prime is 7870296953. The next prime is 7870296971. The reversal of 7870296960 is 696920787.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 7870296897 and 7870296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8138397 + ... + 8139363.

Almost surely, 2^7870296960 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 7870296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157261360).

7870296960 is an abundant number, since it is smaller than the sum of its proper divisors (20444225760).

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

7870296960 is a wasteful number, since it uses less digits than its factorization.

7870296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7870296960 is about 88714.6941605504. The cubic root of 7870296960 is about 1989.1324686723.

The spelling of 7870296960 in words is "seven billion, eight hundred seventy million, two hundred ninety-six thousand, nine hundred sixty".