73884880 has 20 divisors (see below), whose sum is σ = 171782532. Its totient is φ = 29553920.

The previous prime is 73884871. The next prime is 73884883. The reversal of 73884880 is 8848837.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 57820816 = 4008^2 + 7604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×73884880² = 10917950985228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73884880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73884883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461701 + ... + 461860.

Almost surely, 2^73884880 is an apocalyptic number.

It is an amenable number.

73884880 is an abundant number, since it is smaller than the sum of its proper divisors (97897652).

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

73884880 is a wasteful number, since it uses less digits than its factorization.

73884880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923574 (or 923568 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 73884880 is about 8595.6314485906. The cubic root of 73884880 is about 419.6158240587.

The spelling of 73884880 in words is "seventy-three million, eight hundred eighty-four thousand, eight hundred eighty".