76118276520 has 768 divisors, whose sum is σ = 311351040000. Its totient is φ = 15851427840.

The previous prime is 76118276519. The next prime is 76118276551. The reversal of 76118276520 is 2567281167.

76118276520 is a `hidden beast` number, since 7 + 6 + 118 + 2 + 7 + 6 + 520 = 666.

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 191 ways as a sum of consecutive naturals, for example, 57708421 + ... + 57709739.

It is an arithmetic number, because the mean of its divisors is an integer number (405405000).

Almost surely, 2^76118276520 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 76118276520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520000).

76118276520 is an abundant number, since it is smaller than the sum of its proper divisors (235232763480).

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

76118276520 is a wasteful number, since it uses less digits than its factorization.

76118276520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 761 and 18276520, that added together give a palindrome (18277281).

The spelling of 76118276520 in words is "seventy-six billion, one hundred eighteen million, two hundred seventy-six thousand, five hundred twenty".