76722275049984 has 200 divisors, whose sum is σ = 229019181655308. Its totient is φ = 25571479265280.

The previous prime is 76722275049983. The next prime is 76722275049989. The reversal of 76722275049984 is 48994057222767.

It is a happy number.

76722275049984 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 2 + 2 + 7 + 50 + 499 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73996606128384 + 2725668921600 = 8602128^2 + 1650960^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (76722275049983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429436194 + ... + 429614814.

Almost surely, 2^{76722275049984} 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 76722275049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114509590827654).

76722275049984 is an abundant number, since it is smaller than the sum of its proper divisors (152296906605324).

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

76722275049984 is a wasteful number, since it uses less digits than its factorization.

76722275049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189008 (or 188983 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 76722275049984 in words is "seventy-six trillion, seven hundred twenty-two billion, two hundred seventy-five million, forty-nine thousand, nine hundred eighty-four".