7860576960 has 280 divisors, whose sum is σ = 29607906240. Its totient is φ = 1972740096.

The previous prime is 7860576959. The next prime is 7860577007. The reversal of 7860576960 is 696750687.

It is a happy number.

7860576960 is a `hidden beast` number, since 7 + 8 + 6 + 0 + 576 + 9 + 60 = 666.

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 = 7860576897 and 7860576906.

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, 431721 + ... + 449559.

Almost surely, 2^7860576960 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 7860576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803953120).

7860576960 is an abundant number, since it is smaller than the sum of its proper divisors (21747329280).

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

7860576960 is a wasteful number, since it uses less digits than its factorization.

7860576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17885 (or 17866 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7860576960 is about 88659.8948792519. The cubic root of 7860576960 is about 1988.3132563595.

The spelling of 7860576960 in words is "seven billion, eight hundred sixty million, five hundred seventy-six thousand, nine hundred sixty".