76221696800 has 162 divisors, whose sum is σ = 191347129953. Its totient is φ = 29648451840.

The previous prime is 76221696779. The next prime is 76221696827. The reversal of 76221696800 is 869612267.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 74697262864 + 1524433936 = 273308^2 + 39044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=195220.

It is a super-2 number, since 2×76221696800² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 335778287 + ... + 335778513.

Almost surely, 2^76221696800 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 76221696800

76221696800 is an abundant number, since it is smaller than the sum of its proper divisors (115125433153).

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

76221696800 is an equidigital number, since it uses as much as digits as its factorization.

76221696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 76221696800 in words is "seventy-six billion, two hundred twenty-one million, six hundred ninety-six thousand, eight hundred".