7680476160 has 352 divisors, whose sum is σ = 31198245120. Its totient is φ = 1755316224.

The previous prime is 7680476119. The next prime is 7680476173. The reversal of 7680476160 is 616740867.

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 31 ways as a sum of consecutive naturals, for example, 963712 + ... + 971648.

Almost surely, 2^7680476160 is an apocalyptic number.

7680476160 is a gapful number since it is divisible by the number (70) 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 7680476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599122560).

7680476160 is an abundant number, since it is smaller than the sum of its proper divisors (23517768960).

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

7680476160 is a wasteful number, since it uses less digits than its factorization.

7680476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7680476160 is about 87638.3258626042. The cubic root of 7680476160 is about 1973.0104333280.

The spelling of 7680476160 in words is "seven billion, six hundred eighty million, four hundred seventy-six thousand, one hundred sixty".