76603608000 has 336 divisors, whose sum is σ = 279866530944. Its totient is φ = 19992115200.

The previous prime is 76603607987. The next prime is 76603608007. The reversal of 76603608000 is 80630667.

It is a happy number.

It is a super-2 number, since 2×76603608000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76603608007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3372682 + ... + 3395318.

It is an arithmetic number, because the mean of its divisors is an integer number (832936104).

Almost surely, 2^76603608000 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 76603608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139933265472).

76603608000 is an abundant number, since it is smaller than the sum of its proper divisors (203262922944).

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

76603608000 is a wasteful number, since it uses less digits than its factorization.

76603608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22694 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 76603608000 in words is "seventy-six billion, six hundred three million, six hundred eight thousand".