76765874496 has 224 divisors, whose sum is σ = 216942741120. Its totient is φ = 23887872000.

The previous prime is 76765874489. The next prime is 76765874519. The reversal of 76765874496 is 69447856767.

It is a super-3 number, since 3×76765874496³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76765874496.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 141895986 + ... + 141896526.

It is an arithmetic number, because the mean of its divisors is an integer number (968494380).

Almost surely, 2^76765874496 is an apocalyptic number.

76765874496 is a gapful number since it is divisible by the number (76) 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 76765874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108471370560).

76765874496 is an abundant number, since it is smaller than the sum of its proper divisors (140176866624).

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

76765874496 is a wasteful number, since it uses less digits than its factorization.

76765874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 69.

The spelling of 76765874496 in words is "seventy-six billion, seven hundred sixty-five million, eight hundred seventy-four thousand, four hundred ninety-six".