760076887680 has 1920 divisors, whose sum is σ = 3264893438400. Its totient is φ = 166617907200.

The previous prime is 760076887673. The next prime is 760076887693. The reversal of 760076887680 is 86788670067.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×760076887680³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10412012124 + ... + 10412012196.

Almost surely, 2^760076887680 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 760076887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632446719200).

760076887680 is an abundant number, since it is smaller than the sum of its proper divisors (2504816550720).

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

760076887680 is a wasteful number, since it uses less digits than its factorization.

760076887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 760076887680 in words is "seven hundred sixty billion, seventy-six million, eight hundred eighty-seven thousand, six hundred eighty".