76522649280 has 672 divisors, whose sum is σ = 315927101952. Its totient is φ = 15508684800.

The previous prime is 76522649257. The next prime is 76522649299. The reversal of 76522649280 is 8294622567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 21213237 + ... + 21216843.

It is an arithmetic number, because the mean of its divisors is an integer number (470129616).

Almost surely, 2^76522649280 is an apocalyptic number.

76522649280 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 76522649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157963550976).

76522649280 is an abundant number, since it is smaller than the sum of its proper divisors (239404452672).

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

76522649280 is a wasteful number, since it uses less digits than its factorization.

76522649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 76522649280 in words is "seventy-six billion, five hundred twenty-two million, six hundred forty-nine thousand, two hundred eighty".