76221775872 has 456 divisors, whose sum is σ = 251028615600. Its totient is φ = 22837985280.

The previous prime is 76221775837. The next prime is 76221775879. The reversal of 76221775872 is 27857712267.

76221775872 is a `hidden beast` number, since 7 + 622 + 1 + 7 + 7 + 5 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4609920) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (76221775879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856424404 + ... + 856424492.

It is an arithmetic number, because the mean of its divisors is an integer number (550501350).

Almost surely, 2^76221775872 is an apocalyptic number.

76221775872 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 76221775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125514307800).

76221775872 is an abundant number, since it is smaller than the sum of its proper divisors (174806839728).

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

76221775872 is an frugal number, since it uses more digits than its factorization.

76221775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 105 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The spelling of 76221775872 in words is "seventy-six billion, two hundred twenty-one million, seven hundred seventy-five thousand, eight hundred seventy-two".