76076000000 has 1008 divisors, whose sum is σ = 268271566080. Its totient is φ = 20736000000.

The previous prime is 76075999997. The next prime is 76076000009. The reversal of 76076000000 is 67067.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (76076000009) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 4003999991 + ... + 4004000009.

Almost surely, 2^76076000000 is an apocalyptic number.

76076000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76076000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134135783040).

76076000000 is an abundant number, since it is smaller than the sum of its proper divisors (192195566080).

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

76076000000 is an equidigital number, since it uses as much as digits as its factorization.

76076000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

Adding to 76076000000 its reverse (67067), we get a palindrome (76076067067).

The spelling of 76076000000 in words is "seventy-six billion, seventy-six million", and thus it is an aban number and an uban number.