768514560 has 240 divisors, whose sum is σ = 2703764448. Its totient is φ = 186081280.

The previous prime is 768514559. The next prime is 768514573. The reversal of 768514560 is 65415867.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×768514560² = 1181229257863987200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928867 + ... + 929693.

Almost surely, 2^768514560 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 768514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351882224).

768514560 is an abundant number, since it is smaller than the sum of its proper divisors (1935249888).

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

768514560 is a wasteful number, since it uses less digits than its factorization.

768514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 768514560 is about 27722.0951589161. The cubic root of 768514560 is about 915.9758706610.

The spelling of 768514560 in words is "seven hundred sixty-eight million, five hundred fourteen thousand, five hundred sixty".