76721081600 has 648 divisors, whose sum is σ = 222015290112. Its totient is φ = 26114457600.

The previous prime is 76721081561. The next prime is 76721081611. The reversal of 76721081600 is 618012767.

It is a super-2 number, since 2×76721081600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1784211179 + ... + 1784211221.

Almost surely, 2^76721081600 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 76721081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111007645056).

76721081600 is an abundant number, since it is smaller than the sum of its proper divisors (145294208512).

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

76721081600 is a wasteful number, since it uses less digits than its factorization.

76721081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 76721081600 in words is "seventy-six billion, seven hundred twenty-one million, eighty-one thousand, six hundred".