76781532960 has 480 divisors, whose sum is σ = 308474635392. Its totient is φ = 17803653120.

The previous prime is 76781532941. The next prime is 76781532977. The reversal of 76781532960 is 6923518767.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 76781532897 and 76781532906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3267172 + ... + 3290588.

Almost surely, 2^76781532960 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 76781532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154237317696).

76781532960 is an abundant number, since it is smaller than the sum of its proper divisors (231693102432).

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

76781532960 is a wasteful number, since it uses less digits than its factorization.

76781532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23478 (or 23461 counting only the distinct ones).

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

The spelling of 76781532960 in words is "seventy-six billion, seven hundred eighty-one million, five hundred thirty-two thousand, nine hundred sixty".