73793408 has 64 divisors (see below), whose sum is σ = 161135520. Its totient is φ = 33454080.

The previous prime is 73793389. The next prime is 73793443. The reversal of 73793408 is 80439737.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×73793408³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101141 + ... + 101867.

Almost surely, 2^73793408 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 73793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80567760).

73793408 is an abundant number, since it is smaller than the sum of its proper divisors (87342112).

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

73793408 is a wasteful number, since it uses less digits than its factorization.

73793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 73793408 is about 8590.3089583553. The cubic root of 73793408 is about 419.4425863163.

The spelling of 73793408 in words is "seventy-three million, seven hundred ninety-three thousand, four hundred eight".