73799155600 has 225 divisors, whose sum is σ = 192477187957. Its totient is φ = 27192079360.

The previous prime is 73799155559. The next prime is 73799155627. The reversal of 73799155600 is 655199737.

It is a happy number.

The square root of 73799155600 is 271660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8041784976 + 65757370624 = 89676^2 + 256432^2 .

It is a super-2 number, since 2×73799155600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1570194777 + ... + 1570194823.

Almost surely, 2^73799155600 is an apocalyptic number.

73799155600 is the 271660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73799155600

73799155600 is an abundant number, since it is smaller than the sum of its proper divisors (118678032357).

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

73799155600 is an frugal number, since it uses more digits than its factorization.

73799155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 52.

The spelling of 73799155600 in words is "seventy-three billion, seven hundred ninety-nine million, one hundred fifty-five thousand, six hundred".