73334000800 has 36 divisors (see below), whose sum is σ = 179026631406. Its totient is φ = 29333600000.

The previous prime is 73334000771. The next prime is 73334000827. The reversal of 73334000800 is 800043337.

It can be written as a sum of positive squares in 3 ways, for example, as 34680867984 + 38653132816 = 186228^2 + 196604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45832951 + ... + 45834550.

Almost surely, 2^73334000800 is an apocalyptic number.

It is an amenable number.

73334000800 is an abundant number, since it is smaller than the sum of its proper divisors (105692630606).

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

73334000800 is a wasteful number, since it uses less digits than its factorization.

73334000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91667521 (or 91667508 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 73334000800 in words is "seventy-three billion, three hundred thirty-four million, eight hundred", and thus it is an aban number.