76514112000 has 320 divisors, whose sum is σ = 282662265600. Its totient is φ = 20403302400.

The previous prime is 76514111941. The next prime is 76514112011. The reversal of 76514112000 is 21141567.

It is a happy number.

76514112000 is a `hidden beast` number, since 7 + 651 + 4 + 1 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1705861 + ... + 1750139.

It is an arithmetic number, because the mean of its divisors is an integer number (883319580).

Almost surely, 2^76514112000 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 76514112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141331132800).

76514112000 is an abundant number, since it is smaller than the sum of its proper divisors (206148153600).

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

76514112000 is an equidigital number, since it uses as much as digits as its factorization.

76514112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44321 (or 44289 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 76514112000 its reverse (21141567), we get a palindrome (76535253567).

The spelling of 76514112000 in words is "seventy-six billion, five hundred fourteen million, one hundred twelve thousand".