76799251872 has 768 divisors, whose sum is σ = 281427148800. Its totient is φ = 20135236608.

The previous prime is 76799251831. The next prime is 76799251873. The reversal of 76799251872 is 27815299767.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (76799251873) 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 127 ways as a sum of consecutive naturals, for example, 344391153 + ... + 344391375.

It is an arithmetic number, because the mean of its divisors is an integer number (366441600).

Almost surely, 2^76799251872 is an apocalyptic number.

76799251872 is a gapful number since it is divisible by the number (72) 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 76799251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140713574400).

76799251872 is an abundant number, since it is smaller than the sum of its proper divisors (204627896928).

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

76799251872 is a wasteful number, since it uses less digits than its factorization.

76799251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 76799251872 in words is "seventy-six billion, seven hundred ninety-nine million, two hundred fifty-one thousand, eight hundred seventy-two".